Question

The number of hamburger sales per week at a fast food restaurant is 350. The number of weekly sales goes down by 45.0 hamburgers per week when the price of a hamburger is increased by 12%. Find the relative change in weekly sales. O - 3.75% O - 12.9% - 87.1% 87.1% 12.9% 3.75%

Answer 1

The relative change in weekly sales is -2.4%.

Explanation:

Total sales = number of hamburgers x price per piece

Total sales prior to the price change:

TS = 350P

Total sales after price was changed:

TS = (350-45)(1.12P)

TS = 305(1.12P)

TS = 341.6P

Relative change in weekly sales:

Relative change = [Total sales after price change - Total sales prior to the price change]/Total sales prior to the price change *100%

Relative change = (341.6P-350P)/(350P) * 100%

Relative change = -8.4P/350P *100%

Relative change = -0.024 * 100%

Relative change = -2.4%