Question

Make Sense and Preserve. Grade 9 Council is raising money for class dances by selling spirit T-

shirts. The function R=-n^2 +17n +200 models the revenue Rin dollars they expect per
increase of n dollars over the original price of each T-shirt. The goal is $ 250.
What increase (s) n will result in Grade 9 Council meeting their goal?
Round all your answers to the nearest whole number
7 dollars
4 dollars or 13 dollars
2 dollars
10 dollars

Answer 1

4 dollars or 13 dollars

Explanation:

Revenue is the income or increase in net assets that a commercial organization have as a result of offering services.

Revenue is the product of selling price per goods and the number of goods sold. That is:

Revenue = selling price per goods * number of goods sold

Given the revenue function:

R=-n² +17n +200; where n is the increase in the original price of T-shirt.

Since the council wants to make a revenue of $250, hence:

-n² +17n +200 = 250

-n² + 17n - 50 = 0

Solving using a calculator gives:

n = $4 or $13 (to the nearest whole number)