Question

Please help me with this word problem!

Answer 1

Answer:

$f(g)=25g$

Step-by-step explanation:

Let $g$ be the number of gallons so $f(g)$ is the number of miles traveled per $g$ gallons.

We know for our problem that Brian's car gets 25 miles per gallon. Since the gallons is represented by $g$, his car will travel a total distance of 25g (where g is the number of gallons.

We also know that the total distance is given by $f(g)$, so we can put the two expressions together to get our function:

$f(g)=25g$

Let's check:

- If he uses 1 gallon (g=1), so

$f(1)=25(1)$

$f(1)=25$ miles

He will travel 25 miles with one gallon.

- If he uses 2 gallons (g=2), so

$f(2)=25(2)$

$f(2)=50$

He will travel 50 miles with two gallon.