Slope & y-intercept in Context

The shipping fee to send a package via US Priority Mail costs $6 per pound and includes a $5 insurance fee. If an equation is written to calculate the shipping charge, what is the slope?

Mathematical Equivalence

ON

Luke goes to the fair with $50. Each ride costs $2. If an equation is written to show how much money Luke has at the end of the day, what is the slope and y-intercept?

(Select TWO answers)

• slope = 50

• slope = -2

• y-intercept = 50

• y-intercept = -2

The table shows how much water was in a swimming pool as it was being filled. What is the average rate of change?

Mathematical Equivalence

ON

The cash register deducts $2.50 from a $25 Coffee Cafe gift card for every medium coffee that customer buys. An equation is written to calculate the total amount on the gift card. What is the meaning of the y-intercept in the equation?

• The change in the amount of money spent

• The ending value on the gift card

• The amount of money spent each visit

• The initial value of the gift card

The graph represents the relationship between time and temperature of a solution during a chemical reaction. What does the x-intercept mean in this situation?

• The temperature at which the time is zero

• The time at which the temperature is zero

• The rate at which the temperature is changing

• The time at which the temperature is five

The table shows the wages earned by a cashier during a week. Which best describes the average rate of change?

• The cashier earns $6 per hour

• The cashier earned $12.50 per hour

• The cashier earns $8 per hour

• The cashier earns $6.25 per hour

The graph shows the altitude of a car as a driver descends a mountain. What is the meaning of the x-intercept?

• The height at which the driver started was 1500 ft

• The height at which the driver stopped was 6 feet above sea level

• The driver reached the base of the mountain after 6 hours

• The driver descended at 300 ft an hour

The graph represents the amount John pays for his cell phone service: a monthly fee plus a charge for each minute he uses his phone. What does the y-intercept indicate?

• His monthly fee is $0

• His rate per minute is $0.40

• His monthly fee is $20

• His rate per minute is $0.20

Some students collected the data in the table. What does the average rate of change represent?

• The change in the average temperature per day

• The change in average temperature per month

• The high temperature for the sampling period

• The number of months in the sampling period

Eva saw this graph in a fitness magazine. What does the slope represent?

• total calories burned

• total distance walked

• calories burned per mile walked

• miles walked per hour