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MrRissso [65]
3 years ago
13

Write a function rule to describe the amount of change c(x) from a $20 bill if you buy x pounds of grapes at $41.29 per pound.

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

r(x) = 20 -1.29 x

Step-by-step explanation:

Let's define some notation first:

x represent the number of grapges that we buy

A= 20 represent the amount of money that we have in order to pay

C= 1.29 represent the unitary cost per each pound of grapes. This value sia assumed because is not logic that a pound of grapes cost $41.29.

r represent the change

Solution to the problem

In order to find a function to the change we need to satisfy the following equation:

r+ Cx =A

Because the change plus the ocost needs to be equal to the total amount.

If we solve for the change r we got this function:

r = A- Cx

And if we replace the values for A and C we got:

r(x) = 20 -1.29 x

And this would be our function for the change based on the info provided.

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