A. If two quantities are proportional, then it ( is or is not? ) guaranteed that

Question

A. If two quantities are proportional, then it (is or is not?) guaranteed that changes in the quantities are proportional.

B. If changes in two quantities are proportional, then it (is or is not?) guaranteed that the quantities themselves are proportional.

C. You have been given the task of enlarging a 7-inch wide by 10-inch high concert ad photo to a poster size to display around campus. (For each answer below, use exact values or round to the nearest hundredth.)

i. If you increased the width of the original photo by 4 inches, by how much would you have to increase the height so that the image is not distorted? inches

ii. Suppose the ad is enlarged to a width of 30-inches so that the enlarged image is not distorted. If you increased the width of the 30-inch ad by 4 inches, by how much would you have to increase the height so the image is not distorted? inches

iii. If you increased the width of any size of the advertisement by 15 inches, by how much does the height need to be increased so the image is not distorted? inches

Explanation / Answer

If two quantities are proportional, then it guaranteed that changes in the quantities are proportional.

True ; y2 -y1 = k(x2 -x1)

If changes in two quantities are proportional, then it (is or is not?) guaranteed that the quantities themselves are proportional. True

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7 inch wide by 10-inch high concert ad photo : 7 inch by 10 ich

So, Ratio of width/height = 7/10

If width increases by 4 inch = 11 inch

height =10*11/7 = 110/7

increase in height = 110/7 -10 = 40/7 =5.71 inch

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