Question

A husband and wife attend the local recreation center. The husband pays a flat rate of $125 for one year, shown as f(x). The wife pays $6.00 per visit, shown as g(x). Which function shows the correct combination of these two functions to represent the total cost to them of attending the recreation center in one year, shown as h(x)?

f(x) = 125x, g(x) = 6, h(x) = 125x + 6
f(x) = 125, g(x) = 6, h(x) = 6 + 125
f(x) = 125x, g(x) = 6x, h(x) = 125x + 6x
f(x) = 125, g(x) = 6x, h(x) = 6x + 125

Answer 1

f(x) = 125, g(x) = 6x, h (x) = 125 +6x

Explanation:

We have been given that husband pays a flat rate of $125 for one year. Thus, we have

f(x) = 125

And wife pays $6.00 per visit. Let she visited x times then we have

g(x) = 6x.

Now, h(x) represents the total cost to attend the recreation center in one year. Hence, we have

h(x)= f(x) + g(x)

Substituting the known values, we get

h (x) = 125 +6x

Therefore, last option is correct.

f(x) = 125, g(x) = 6x, h (x) = 125 +6x

Answer 2

The total cost, h(x), is the addition of both costs, f(x) and g(x), i.e. h(x) = f(x) + g(x)

f(x) = 125
g(x) = 6x

h(x) = f(x) + g(x) = 125 + 6x

Answer: the fourth option: f(x) = 125, g(x) = 6x, h(x) = 6x + 125