norman makes $15 commission for selling $200 in merchandise. he makes $37.50 commission for selling $500 in…

norman makes $15 commission for selling $200 in merchandise. he makes $37.50 commission for selling $500 in merchandise. assuming that the variables are directly related and norman wants to make $150 in commission, what is the total value of merchandise he needs to sell?$335.00$612.50$2,000.00$5,000.00

norman makes $15 commission for selling $200 in merchandise. he makes $37.50 commission for selling $500 in merchandise. assuming that the variables are directly related and norman wants to make $150 in commission, what is the total value of merchandise he needs to sell?$335.00$612.50$2,000.00$5,000.00

Answer

Explanation:

Step1: Find commission rate

Calculate the rate using first pair: $\text{Rate} = \frac{$15}{$200} = 0.075$ Verify with second pair: $\frac{$37.50}{$500} = 0.075$ (confirms rate is consistent)

Step2: Calculate required merchandise value

Rearrange rate formula to solve for sales: $\text{Merchandise Value} = \frac{\text{Desired Commission}}{\text{Rate}}$ $\text{Merchandise Value} = \frac{$150}{0.075}$

Answer:

C. $2,000.00