Question

Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars.

p = 1.50n – 500




How many candy bars must be sold to make a profit of $700?


A.

134


B.

300


C.

800


D.

967

Answer 1

C. 800

Explanation:

Given the equation used to calculate the amount of profit, p, made from selling n candy bars expressed as p = 1.50n – 500

To find the number of candies sold for $700, we are going to substitute p = $700 into the given expression and find n as shown;

700 = 1.50n - 500

Add 500 to both sides

700+500 = 1.50n-500+500

1200 = 1.50n

Divide both sides by 1.50

1200/1.50 = 1.50n/1.50

800 = n

Rearrange

n = 800

Hence 800 candy bars must be sold to make $700 profit