Susan and Jim own a lawn care business. The amount Susan charges for a lawn care by the hour is shown in the table.
What is the difference between Susan's and Jim's lawn care business in the amount they charge for 10 hours of work?

Susan and Jim own a lawn care business The amount Susan charges for a lawn care by the hour is shown in the table What is the difference between Susans and Jims class=

Respuesta :

Let's assume that Susan's graph is linear. Then, we can do linear interpolation. Let y be the amount charged for 10 hours of work done:

(7-10)/(7-11) = (168-y)/(168-264)
y = $240

For Jim's Lawn care, let's find the constant slope using points (1,20) and (2,40):

m = (20 - 40)/(1-2) = 20
Then, since the y-intercept is zero, the linear equation is:
y = 20x
Substituting x = 10 hours,
y = 20(10) = $200

The difference between the two would then be:
Difference = $240 - $200 = $40

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