AnswersNC-Foundations of Math 1 Fall 2nd 9 WeeksRate of Change and Introduction to Slope

Rate of Change and Introduction to Slope Answers

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Marisol attempted to determine the slope of a line based on the two points shown in the table below.xy–14310Step 1: (–1, 4) and (3, 10)Step 2: Step 3: Which statement best explains Marisol’s error?

Question illustration
A
Marisol computed .
Option A
B
Marisol computed .
Option B
C
Marisol computed .
Option C
D
Marisol computed .
Option D
2
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The graph below represents the total shipping cost of x items for four different companies. Shipping ChargesWhich list places the companies in order from the steepest slope to the least steep slope?

Question illustration
A
W, Z, U, Y
B
U, Y, W, Z
C
W, Z, Y, U
D
U, Y, Z, W
3

Four students drew graphs of a linear function. Which student drew a line with a slope of 3?AnaliseBenitoCharlieDariya

Question illustration
A
Analise
B
Benito
C
Charlie
D
Dariya
4

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?

A
Because , the slope of the climbing equipment at the gym is greater.
Option A
B
Because , the slope of the climbing equipment at the playground is greater.
Option B
C
Because , the slope of the climbing equipment at the gym is greater.
Option C
D
Because , the slope of the climbing equipment at the playground is greater.
Option D
5

The two tables below show the amount of tip, y, included on a bill charging x dollars. Which compares the slopes of the lines created by the tables?

Question illustration
A
The slope of the line for Restaurant B is times greater than the slope of the line for Restaurant A.
Option A
B
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
C
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
D
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.
6

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period. Alexa’s GraphMia’s TableBased on the data on the graph and in the table, which statement gives an accurate comparison?

Question illustration
A
Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Option A
B
Alexa traveled at a faster rate because the slope of her line is , which is greater than the slope of the line described by the data in Mia’s table.
Option B
C
Mia traveled at a faster rate because the slope of the line described by the data in her table is , which is greater than the slope of the line on Alexa’s graph.
Option C
D
Mia traveled at a faster rate because the slope of the line described by the data in her table is , which is greater than the slope of the line on Alexa’s graph.
Option D
7

A store sells shirts to the public at one pricing scale and wholesale at another pricing scale. The tables below describe the cost, y, of x shirts. PublicWholesaleHow do the slopes of the lines created by each table compare?

Question illustration
A
The slope of the Public table is of the slope of the Wholesale table.
Option A
B
The slope of the Wholesale table is of the slope of the Public table.
Option B
C
The slope of the Public table is 12 times greater than the slope of the Wholesale table.
D
The slope of the Wholesale table is 12 times greater than the slope of the Public table.
8

Jalen is computing the slope of the line on the graph below. Step 1: (–4, 0) and (2, 3)Step 2: Step 3: Step 4: The slope is 2.Which statement describes Jalen’s error?

Question illustration
A
Jalen computed the ratio of change in x to change in y.
B
Jalen used the ordered pairs in the wrong order.
C
Jalen made a computational error.
D
Jalen used an ordered pair that is not on the line.
9

Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below.xy132?He remembers that the slope of the line through the ordered pairs in the table was 4. What is the missing y-value in the table?

A
5
B
7
C
8
D
12
10

The table below shows how much Joe earns, y, after working x hours. Joe’s EarningsHours workedMoney earned4$3010$7512$9022$165The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?

A
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
B
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
C
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
D
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.

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