Samantha goes on a road trip;

Question

This seems SO simple yet i can't figure it out.

Samantha goes on a road trip; her car gets 27 miles per gallon (mpg) and gas costs $3.24 per gallon. Let  represent the number of miles Samantha has traveled since she started driving.

Suppose Samantha has traveled 211 miles () since she started driving.

Write an expression in terms of  that represents the number of gallons of gasoline Samantha has used since she started driving.

Write an expression in terms of that represents the cost of the gasoline that Samantha has used since she started driving.

Answer 1

distance (miles) / gas mileage (miles per gallon) = number of gallons of gas used. So n/27 = gallons of gas used. Let gallons of gas used = g(n) so then g(n) = n/27

number of gallons used * gas price ($/gallon) = cost in $s. So n/27*3.24 or 3.24n/27 or 0.12n is the cost in $s. Let the cost in $s = c(n) so c(n) = 0.12n

Answer 2

n/27

(n/27)3.24

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