Vasumathi N. answered • 03/27/21

Effective Math Tutor . Cater to Various Learning Styles.

Jimmy M.

asked • 03/26/21**1.) **A carpet cleaning business has 100 customers when they charge $125 for a cleaning. Research shows that every $5 reduction in price attracts another 20 customers. Which equation could be used to represent this situation, where x is the price per cleaning and R(x) is the total revenue?

**A.) **R(x) = −4x2 + 600x

**B.) **R(x) = −2x2 + 400x

**C.) **R(x) = 2x2 − 400x

**D.) **R(x) = 4x2 − 600x

**2.) **The cost of renting a fishing boat is $25 per hour for the first 7 hours, $10 per hour for the next 10 hours, and $5 per hour for any additional hours. Identify the cost of renting the boat for 30 hours.

**A.) **$150

**B.) **$425

**C.) **$325

**D.) **$340

Please please just explain and solve please

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Vasumathi N. answered • 03/27/21

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Effective Math Tutor . Cater to Various Learning Styles.

Tran N. answered • 03/26/21

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2.

$25/hour for first 7 hours

$10/ hour for next 10 hours

$5/ hour for any additional hours

$25(7) + $10 (10) + $5 (X)= total cost for 30 hours

So far we have the formula set up, but it only shows how much it could potentially cost for someone to rent the boat for 17 hours. We need 13 more hours to equate to 30 hours. Therefore, we will plug in 13 hours in the parentheses "X". After doing that, we will multiply 25 by 7 which is 175, 10 by 10 which is 100, and 5 by 13 which is 65. After this step, we will add 175+100+65= $340

$175 + $100 + $65= $340. The answer is $340 for renting a boat for 30 hours.

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