the total expenses for a small business owner varies directly with the number of hours billed from consultants. If the owner spends $680 when a consultant bills for 8 hours of work, find the constant of variation. Then use it to write an equation that can be used to be determine the expense per hour billed. Define your variables!

Question

Mathematics

Isabella Hahn

2 September, 09:04

the total expenses for a small business owner varies directly with the number of hours billed from consultants. If the owner spends $680 when a consultant bills for 8 hours of work, find the constant of variation. Then use it to write an equation that can be used to be determine the expense per hour billed. Define your variables!

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Answers (1)

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Bradley · Answer 1

Step-by-step explanation:

Let y represent the total expenses for a small business owner

Let x represent the number of hours billed from consultants.

The total expenses for a small business owner varies directly with the number of hours billed from consultants. It means that

y varies directly with x

We will introduce a constant if variation, k. Therefore,

y = kx

If the owner spends $680 when a consultant bills for 8 hours of work, then

680 = 8k

k = 680/8 = 85

Therefore, the equation is

y = 85x