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Math 8 Testlet 009 - Interpret the parameters of a linear model 8.DSP.A.3

Last updated 3 months ago

6 questions

Required

1

8.DSP.A.3

Required

1

8.DSP.A.3

Required

1

8.DSP.A.3

Required

1

8.DSP.A.3

Question 1

1.

Required

1

8.DSP.A.3

Required

1

8.DSP.A.3

Question 4

4.

Douglas created a scatter plot of the average price for a gallon of milk in the United States each year since 1995. He calculated that the line of best fit is modeled by the equation y = 0.04x + 2.69, where x represents the number of years since 1995 and y represents the average price for a gallon of milk. Based on the line of best fit, what is the predicted average price, in dollars, for a gallon of milk in 2040?

Question 5

5.

At a restaurant, the cost of a pizza with x toppings can be modeled by the equation y = 9.5 + 0.9x. Based on the equation, what is the cost, in dollars, for each topping?

Question 6

6.

Amran creates a scatter plot of the average price of a movie ticket each year since 2007. In the scatter plot, x represents the number of years since 2007 and y represents the average cost of a movie ticket. She calculated the line of best fit to be y = 0.25x + 6.97. Based on the line of best fit, what will be the average cost, in dollars, of a movie ticket in 2030?

A grocery store manager records the outside high temperature in degrees Fahrenheit, x, and the number of ice cream bars sold, y, at the store for ten days. The equation shown represents the line of best fit for the store manager’s data.
y=0.75x+1
Based on the line of best fit, which statement is true?

The store manager can expect the number of ice cream bars sold to increase at a constant rate of 1 bar for each increase of 0.75 degrees Fahrenheit in the outside high temperature.

The store manager can expect to sell 75 more ice cream bars for each increase of 1 degree Fahrenheit in the outside high temperature.

The store manager can expect to sell 1 more ice cream bar for each increase of 75 degrees Fahrenheit in the outside high temperature.

The store manager can expect the number of ice cream bars sold to increase at a constant rate of 0.75 bars for each increase of 1 degree Fahrenheit in the outside high temperature.

Question 2

2.

Question 3

3.

The scatter plot shows the relationship between the value of a truck, y, in thousands of dollars, and the number of years, x, since it was purchased. Each data point represents a
different truck.

The equation for the line of best fit for the data is y = –4.4x + 54. Which statement about the slope is true?

The slope is –4.4 and represents a decrease in the value of a truck of $4,400 each year.

The slope is –4.4 and represents the number of years until a truck will have no value.

The slope is 54 and represents the number of years until a truck will have no value.

The slope is 54 and represents a change in the value of a truck of $5,400 each year.

Students are selling cups of hot cocoa at ball games. They created the scatter plot shown to represent the number of cups of hot cocoa sold, y, in comparison to the outside temperature, x, in degrees Fahrenheit.

Based on the line of best fit, how many cups of hot cocoa can the students expect to sell when the outside temperature is 10 degrees Fahrenheit?

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