A store is having a sale on apples, but won’t allow you to buy more than 5 pounds. Use interval notation to write the domain and range of the function C(x)=2.49x, where x is the weight of the apples (in pounds) and C(x) is the cost (in dollars)

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facundo3141592 facundo3141592 · Answer 1 · 2020-10-01T02:41:07+02:00

Answer:

The cost of x pounds of apples is given by the equation:

C(x) = $2.49*x

Where the domain is the set of the possible values of x and the range is the set of the possible values of C(x)

We want to find the range of possible prices that you can pay.

The minimum number of pounds of apples that you can buy is 0 (this represents the case where you do not buy apples).

C(0) = $2.49*0 = $0

The maximum value for x is x = 5

Replacing that value in our equation we will find the maximum possible cost:

C(5) = $2.49*5 = $12.45

Then the domain is: D : [0, 5]

The range is: R = [$0, $12,45]

Notice that here i used the symbols [], this is because the the values in the extremes are allowed values in the domain and in the range.