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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

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meerkat18
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 

Answer:

[tex]m = f(g) = 30 \times g[/tex]

Step-by-step 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 :

[tex]m = f(g) = 30 \times g[/tex]

Hence function represents the relationship between m and g is [tex]m = f(g) = 30 \times g[/tex]

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