2) Sarah Has a Car Loan, and She Uses the Equation Y = 7,500 250X, Where X Represents The

2) Sarah Has a Car Loan, and She Uses the Equation Y = 7,500 250X, Where X Represents The

Name ______Period ______

1) Maria has a cell phone plan that uses the equation c = 0.55m + 14, where c represents the total cost and m represents the number of minutes used, to determine the amount of her cell phone bill each month, before taxes and fees. Find the x- and y-intercepts of the graph. Explain what each intercept means in the context of the problem.

2) Sarah has a car loan, and she uses the equation y = 7,500 – 250x, where x represents the number of months that she has been paying the loan and y represents the remaining balance on the loan, to determine her remaining loan balance. Find the x- and y-intercepts of the graph. Explain what each intercept means in the context of the problem.

3) Nina buys fruit at her local farmer’s market. This Saturday, oranges cost $2 per pound and cherries cost $3 per pound. She has $12 to spend on fruit. Nina can use the equation 2x + 3y = 12, where x represents the number of pounds of oranges and y represents the number of pounds of cherries, to determine how many pounds of each fruit she may purchase. Find the x- and y-intercepts of the graph. Explain what each intercept means in the context of the problem.

4) The graph below represents the relationship between the floor number and the amount of time that Steph has been in an elevator. Steph is in an office building in Europe, where the ground floor is labeled "floor 0" and the next floor up is labeled "floor 1." Find the x- and y-intercepts of the graph. Explain what each intercept means in the context of the problem.

5) The average lifespan of American women has been tracked, and the model for the data is y = 0.2x + 73, where x = 0 corresponds to 1960. Explain the meaning of the slope and y-intercept.

6) The equation for the speed (not the height) of a ball that is thrown straight up in the air is given by v = 128 – 32t, where v is the velocity (in feet per second) and t is the number of seconds after the ball is thrown. With what initial velocity was the ball thrown? What is the meaning of the slope?

7) At the beginning of each school year, Principal Sao stocks the teachers’ supply closet with new erasers. The graph below shows the change in number of erasers in the supply closet over time. The relationship can be represented by the equation y = x + 40. Find the x- and y-intercepts of the graph. Explain what each intercept means in the context of the problem. Use the graph.

8) The graph below represents the relationship between time and temperature of a solution during a chemical reaction. Find the x- and y-intercepts, and explain what they mean in the situation.

9) The equation t = -4x + 100 represents the relationship between total score on a quiz, t, and questions counted incorrect, x. Find the intercepts of the equation, and explain what they mean in the situation.

10) The graph shows the height of a candle as it burns. What is the meaning of the y – intercept?

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