AnswersMathematics IAnalyzing Functional Relationships

Analyzing Functional Relationships — Quiz Answers

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3

How can the point 12 comma 16 be explained?

A
The highest point of the mountain defined by the function is 12 feet.
B
The width of the base of the mountain defined by the function is 12 feet.
C
The highest point of the mountain defined by the function is 16 feet.
D
The width of the base of the mountain defined by the function is 16 feet.
4

In the context of the problem, which is an accurate interpretation of the point 50 comma 70 ?

A
The ball reached a maximum height of 50 feet.
B
The ball traveled a total distance of 50 yards.
C
The ball reached a maximum height of 70 yards.
D
The ball traveled a total distance of 70 feet.
5

The rate of collection by a solar panel decreased steadily throughout the day due to increasing cloud cover until it reached a constant amount. Later in the day, there were two short periods where the sun appeared, only for the cloud cover to return. Which graph models the amount of energy collected depending on the time since the cloud cover began?

A
Image with description On a coordinate plane, the x-axis ranges from 0 to 30 in increments of two and one-half, and the y-axis ranges from 0 to 70 in increments of 5. The path of set of segments goes from 0 comma 60 to 10 comma 25 to 20 comma 45 to 30 comma 5.
B
Image with description On a coordinate plane, the x-axis ranges from 0 to 30 in increments of two and one-half, and the y-axis ranges from 0 to 70 in increments of 5. The path of set of segments goes from 0 comma 0 to 7.5 comma 35 to 12 comma 35 to 12.5 comma 32 to 13 comma 35 to 22 comma 35 to 22.5 comma 32 to 23 comma 35 to 30 comma 35.
C
Image with description On a coordinate plane, the x-axis ranges from 0 to 30 in increments of two and one-half, and the y-axis ranges from 0 to 70 in increments of 5. The path of set of segments goes from 0 comma 0 to 10 comma 55 to 20 comma 0 to 30 comma 55.
D
Image with description On a coordinate plane, the x-axis ranges from 0 to 30 in increments of two and one-half, and the y-axis ranges from 0 to 70 in increments of 5. The path of set of segments goes from 0 comma 60 to 7.5 comma 3 to 12 comma 5 to 12.5 comma 10 to 13 comma 5 to 22 comma 5 to 22.5 comma 10 to 23 comma 5 to 30 comma 5.
6

A plant food company recommends mixing a teaspoon of food with every gallon of water and only adding a teaspoon when the water level goes above the next whole gallon. Which graph models the number of teaspoons of food depending on the amount of water?

A
Image with description On a coordinate plane, the x-axis ranges from 0 to 6 in increments of one-half, and the y-axis ranges from 0 to 5 in increments of one-half. A segment goes from a closed circle at the point 1 comma 1 to a closed circle at the point 2 comma 1. A second segment goes from an open circle at the point 2 comma 2 to a closed circle at the point 3 comma 2. A third segment goes from an open circle at the point 3 comma 3 to a closed circle at the point 4 comma 3. A fourth segment goes from an open circle at the point 4 comma 4 to a closed circle at the point 5 comma 4. A fifth segment goes from an open circle at the point 5 comma 5 to a closed circle at the point 6 comma 5.
B
Image with description On a coordinate plane, the x-axis ranges from 0 to 5 in increments of one-half, and y-axis ranges from 0 to 5 in increments of one-half. A straight line originates from 0 comma 0, and goes to the right passing through the point 5 comma 5.
C
Image with description On a coordinate plane, the x-axis ranges from 0 to 5 in increments of one-half, and the y-axis ranges from 0 to 5 in increments of one-half. A segment goes from an open circle at the point 0 comma 5 to a closed circle at the point 1 comma 5. A second segment goes from an open circle at the point 1 comma 4 to a closed circle at the point 2 comma 4. A third segment goes from an open circle at the point 2 comma 3 to a closed circle at the point 3 comma 3. A fourth segment goes from an open circle at the point 3 comma 2 to a closed circle at the point 4 comma 2. A fifth segment goes from an open circle at the point 5 comma 1 to a closed circle at the point 5 comma 1.
D
Image with description On a coordinate plane, the x-axis ranges from 0 to 5 in increments of one-half, and y-axis ranges from 0 to 5 in increments of one-half. A straight line originates from 0 comma 5, and goes to the right to the point 5 comma 0.
7

In order to set a staff schedule, a fast-food restaurant manager looks at the average rate of customers served per minute during a lunch service. The manager notices that the time period starts with a sharp but steady increase, is followed by a period during which the restaurant is constantly serving the maximum number of customers per minute, and then has a slow but steady decline. Which graph models the trend the manager notices?

A
Image with description On a coordinate plane, the x-axis ranges from 0 to 4 in increments of one-fourth, and the y-axis ranges from 0 to 4 in increments of one-fourth. The path of set of segments goes from 0 comma 0 to 0.5 comma 1.5 to 2 comma 1.5 to 4 comma 0.
B
Image with description On a coordinate plane, the x-axis ranges from 0 to 4 in increments of one-fourth, and the y-axis ranges from 0 to 4 in increments of one-fourth. The path of set of segments goes from 0 comma 0 to 2 comma 1.5 to 3.5 comma 1.5 to 4 comma 0.
C
Image with description On a coordinate plane, the x-axis ranges from 0 to 4 in increments of one-fourth, and the y-axis ranges from 0 to 4 in increments of one-fourth. The path of set of segments goes from 0 comma 1.75 to 1.5 comma 1 to 3 comma 1 to 4 comma 2.5.
D
Image with description On a coordinate plane, the x-axis ranges from 0 to 4 in increments of one-fourth, and the y-axis ranges from 0 to 4 in increments of one-fourth. The path of set of segments goes from 0 comma 3.5 to 0.5 comma 2 to 2 comma 2 to 4 comma 4.
8

A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches 95 dollars per unit, a maximum profit at a price of 140 dollars per unit, and no profit at a price over 180 dollars per unit. Which graph models the function?

A
Image with description On a coordinate plane, the x-axis ranges from 0 to 200 in increments of 10, and y-axis ranges from 0 to 200 in increments of 10. A curve increases, then passes through the point 0 comma 185, and then decreases through the point 95 comma 0.
B
Image with description On a coordinate plane, the x-axis ranges from 0 to 200 in increments of 10, and y-axis ranges from 0 to 2,000 in increments of 100. A curve passes through the point 100 comma 1,500, decreases to the point 140 comma 0, and then increases through the point 180 comma 1,500.
C
Image with description On a coordinate plane, the x-axis ranges from 0 to 200 in increments of 10, and y-axis ranges from 0 to 2,000 in increments of 100. A curve passes through the point 100 comma 400, increases to the point 140 comma 2,000, and then decreases through the point 180 comma 400.
D
Image with description On a coordinate plane, the x-axis ranges from 0 to 200 in increments of 10, and y-axis ranges from 0 to 200 in increments of 10. A curve passes through the point 0 comma 95, decreases to the point 180 comma 0, and then increases.
9

A country commits to decreasing spending for infrastructure in various ways at a rate of 30 percent per year. At the time of the announcement, the country is spending 12 dollars billion per year. Which graph models the amount of infrastructure spending for future years?

A
Image with description On a coordinate plane, the x-axis ranges from negative 20 to 20 in increments of 5, and the y-axis ranges from 0 to 100 in increments of 10. A smooth curve goes up and to the right and passes through the labeled point 0 comma 30, and the point 10 comma 90.
B
Image with description On a coordinate plane, the x-axis ranges from negative 20 to 20 in increments of 5, and the y-axis ranges from 0 to 100 in increments of 10. A smooth curve goes down and to the right and passes through the point negative 5 comma 70, and the labeled point 0 comma 12.
C
Image with description On a coordinate plane, the x-axis ranges from negative 20 to 20 in increments of 5, and the y-axis ranges from 0 to 100 in increments of 10. A smooth curve goes up and to the right and passes through the labeled point 0 comma 12, and the point 5 comma 45.
D
Image with description On a coordinate plane, the x-axis ranges from negative 20 to 20 in increments of 5, and the y-axis ranges from 0 to 100 in increments of 10. A smooth curve goes down and to the right and passes through the point negative 5 comma 55, and the labeled point 0 comma 30.
10

What is the correct interpretation of the point 250 comma 0 ?

A
The minimum price per ticket is 250 dollars .
B
The maximum difference paid is 250 percent .
C
The average difference is 250 percent .
D
The average price per ticket is 250 dollars .

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