Writing Linear Equations (Rate of Change and Initial Value)

A cement truck is being loaded with cement. The graph below represents the weight, in tons, of the truck as it is being loaded over time. Which of the following statements is true? Select all that apply.

• When 0 minutes have past, the weight is 15 tons

• The initial value is 0

• When the input is 0, the output is 15

• The rate of change is 15

• The independent variable is minutes

Below is the weight of a baby muskrat after it is born. The muskrat’s weight continues to increase at a constant rate. What is the initial value of this function?

• 9

• 13

• 6

• 12

Below is the weight of a baby muskrat after it is born. The muskrat’s weight continues to increase at a constant rate. What is the rate of change in this function?

• 9

• 13

• 6

• 2

Below is the weight of a baby muskrat after it is born. The muskrat’s weight continues to increase at a constant rate. What equation models this function?

• y=2x+9

• y=2x+13

• y=3x+9

• y=3x+13

Robert pays for his family to go to the fair. He pays an initial entrance fee and an additional cost per ride as shown on the graph.

True or False: The situation can be represented by the equation y = 15x + 1.5.

• True; the equation is correct.

• False; the equation should be y=1.5x+15.

Hanna works at an aquarium and needs to drain the seahorse tank for cleaning. The table below shows the gallons of water in the tank based on the number of minutes it has been draining.

True or False: The situation can be represented by the equation

y = -2.5x + 60.

• True; the equation correct.

• False; the equation should be y=2.5+60.

The balance of Sam’s account, y, based on the number of weeks spent saving, x, can be represented by y = 35x + 10. The balance of his sister’s account based on the weeks spent saving is shown on the graph.

True or False: Sam started with less money in his account than his sister.

• True; Sam's initial value is less than his sister's.

• False; Sam's initial value is greater than his sister's.

Write an equation that represents this situation.

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Write an equation that represents this situation.

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The equation y=mx+b represents a linear function. What do the m and the b represent in this equation?

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