Question

The cost for the olive oil used to fill the containers on the tables in an Italian restaurant is given by the function f(x) = 5x – 4, where x represents the number of quarts of olive oil and f(x) represents the quarts of oil used. If f(4a) = 80, what is the value of a?

Answer 1

If f(4a) = 80, then the value of "a" is 4.2

Solution:

Given that cost for the olive oil used to fill the containers on the tables in an Italian restaurant is given by the function:

f(x) = 5x – 4

where "x" represents the number of quarts of olive oil

f(x) represents the quarts of oil used

To find: value of "a" when f(4a) = 80

Substitute x = 4a in given function

f(4a) = 5(4a) - 4

80 = 20a - 4

20a = 84

10a = 42

a = 4.2

Thus the value of "a" is 4.2

Answer 2

We want to know the value of a factor, given that we know f(4a) = 80 and the function f(x).

The value of a is 4.2

Here we start with the function f(x) = 5x - 4

Now we know that:

f(4a) = 5*(4a) - 4 = 80

Then we can just solve the above equation to find the value of a:

5*(4a) - 4 = 80

20*a - 4 = 80

20*a = 80 + 4 = 84

a = 84/20 = 4.2

The value of a is 4.2

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