To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12 for his equipment and $9.25 per hour spent cutting a lawn. If x represents number of hours spent cutting a lawn, what are all values of x for which Taylor's total charge is greater than Allan's total charge?

Question

Mathematics

Allison Bass

13 July, 19:21

To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12 for his equipment and $9.25 per hour spent cutting a lawn. If x represents number of hours spent cutting a lawn, what are all values of x for which Taylor's total charge is greater than Allan's total charge?

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Answers (1)

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Jillian Thornton · Answer 1

Step-by-step explanation:

Let y be the total charge and x no of hours spent for cutting the lawn,

Then for Allan we have the equation as

y = 8.50x+15

SInce 15 is the fixed charge and 8.50 is charged per hour we get the above equation for Allan.

Next similarly for Taylor, we have fixed charges 12 and variale 9.25

y = 9.25x+12

When Taylor total charges is greater than Allan's total charge

we have 9.25x+12>8.5x+15

Simplify to get

0.75x>3

Or x>4

Whenever x i. e. no of hours exceed 4, Taylor charges will be greater than that of Allan