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?

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