Acar travels 17 2/5 miles using 0.75 gallons of gas. how far can it travel with 1 gallon of gas

Solve this problem by writing and solving an equation of ratios:

17 2/5 mi            x

=

0.75 gallon     1 gal

Cross multiplying produces the following equation:

(17 2/5)(mi-gal) = (0.75 gallon)x

Dividing both sides by 0.75 produces the desired quantity:

23.2miles  or 23 1/5 miles

This car can travel 23 1/5 miles on 1 gallon of gas.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2