Question

Roy drives a sedan that gets mileage of 30 miles per gallon. If fuel consumption is represented by g and mileage by m, which function represents the relationship between m and g?

m = f(g) = 30 × g
m = f(m) = 30 × m
g = f(m) = 30 + m
m = f(g) = g − 30
m = f(g) = g ÷ 30

Answer 1

`m = f(g) = 30 * g`

Explanation:

Given : Roy drives a sedan that gets mileage of 30 miles per gallon.

To Find: If fuel consumption is represented by g and mileage by m, which function represents the relationship between m and g?

Solution:

Since we are given that Roy drives a sedan that gets mileage of 30 miles per gallon.

⇒Miles equals 30 times the number of gallons of fuel Roy uses

Since we are given that fuel consumption is represented by g and mileage by m and miles depends on gallons . So, required function is dependent on gallons g

So, The required function is :

`m = f(g) = 30 * g`

Hence function represents the relationship between m and g is
`m = f(g) = 30 * g`

Answer 2

We are given the two units mileage in terms of miles per gallon and fuel consumption, g as gallons. In this case, total distance is equal to mileage times fuel consumption. The function that represents the relation is A. m = f(g) = 30 × g