The graph represents the expected hourly revenue, in dollars, y, earned by a car wash for each decrease of x dollars in the price of a car wash.

$100

$150

$200

$225

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Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of her items and the number of erasers she purchased.

$1.00

$1.50

$2.00

$3.50

The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. Cobalt-60 has a half-life of about 5.3 years. Which equation gives the mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain?

; 13.5 mg

; 34.6 mg

; 0.2 mg

; 4.6 mg

A graph is drawn to represent a relationship between distance, d, and time, t.

Each point shows the distance, in feet, above the ground of a falling object after t seconds, where the falling speed increases as time increases.

Each point shows the distance, in feet, covered t seconds after a brake is applied, where the speed of the car decreases by a constant factor.

Each point shows the distance, in feet, traveled by an airplane on a runway by gradually increasing speed t seconds after being approved for takeoff.

Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed.

The graph shows the distance, in feet, required for a car to come to a full stop if the brake is fully applied and the car was initially traveling x miles per hour.

y =

A pattern of rectangles is formed by decreasing the length and increasing the width, each by the same amount. The relationship between x, the amount of increase, and A, the area of the rectangle represented by the increase, is quadratic.Which graph could represent the area of each rectangle in terms of the change in the length and width?

A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A straight line decreases from 0 to 9 units.

A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A line decreases from 0 to 3 units, increases from 3 to 6 seconds, and decreases from 6 to 9 seconds.

A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A line increases from 0 to 3 seconds then decreases from 3 to 9 seconds.

A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A curved line decreases from 0 to 9 units.

The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. Iron has a half-life of 2.7 years. Which equation gives the mass of a 200 mg iron sample remaining after t years, and approximately how many milligrams remain after 12 years?

; 2.6 mg

f(t)=2.7(0.5)t; 0.0007 mg

f(t)=200(0.5)t; 0.05 mg

; 9.2 mg

The graph shows the relationship between the amount of change given from a $10 bill and the number of bagels purchased.

f(x) = + 10

Which statements are true about the relationship between the depth of the snow and the height of water in the jar after the snow is melted? Select two options.

The points on a graph representing the relationship lie on a line.

There is 0.4 inch of water to every 1 inch of snow.

A line through the points will pass through (0, 0).

The function relating snow depth to water depth is quadratic.

The data can be represented by f(x) = 0.2x.

Sophia plots points on a graph to represent the shape of a concave lens.

linear

exponential

quadratic

square root

Lesson 10.9: Introduction to Modeling with Functions Answers

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