The table shows some data on the quantity of ice cream consumed at different pri

Question

The table shows some data on the quantity of ice cream consumed at different prices and in different weathor conditions. Ice cream consumption (gallons per day) Price (dollars per 70 90 To draw a graph of the relationship between the quantity of ice cream consumed and the temperature, we must sc00p) degrees degrees degrees degrees 0.50 1.00 1.50 2.00 2.50 12 10 18 12 10 7 5 18 13 10 7 50 37 27 20 14 decrease the price as the temperature rises hold the price of ice cream constant at any of the A. 5 O B. five levels shown increase the price as the temperature rises temperature was 70 degrees O c. D. pick the price that prevailed when the lick to select your answer

Explanation / Answer

1) To draw a graph of the relationship between a quantity of ice cream and the temperature we must hold price level constant. At each price, we can show there will be a positive relationship between the quantity of ice cream and the temperature. Option B is correct.

2) The relationship between x and y is negative as when x rises y is decreased. The slope is dy/dx. As the change in y and x is same at each point so the slope is constant that is 5/15=1/3. option B is correct.

3) y=a+bx where a is the intercept on the y-axis. The value of a is 10

4) the slope of the relationship at point A is (42-52)/(6-5)=-10. the slope is the change in y divided by the change in x. Here when y decreases from 52 to 42, x is increased from 5 to 6. so the slope of the relationship at point A is -10.

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