Question

The distance d (in miles) you travel in a car is given by the two equations shown, where t is the time (in hours) and g is the number of gallons of gasoline the car uses.Two equations: d=55t and d=20g a. Write an equation that relates G & T b. Solve the equation for G c. You travel for six hours. How many gallons of gasoline does the car use? How far do you travel?

Answer 1

We have two equations  d=55t and d=20g

The left sides of this equations are the same than the right sides are equal too

a)    55t=20g

b)   g=(55/20)t

c)  t=6h => g=(55/20) *6 = 165/10=16.5 gallons

d= 55t= 55*6=330 miles or d=20g=20*16.5=330 miles

Good luck!!!

Answer 2

Answer:

The distance d (in miles) you travel in a car is given by d=55t where t is the time (in hours)

The distance d (in miles) you travel in a car is given by d=20g where g is the number of gallons of gasoline the car uses.

1. Write an equation that relates g & t.

$20g=55t$

2. Solving for g.

$20g=55t$

=> $g=\frac{55t}{20}$

Hence, $g= 2.75t$

3. You travel for six hours. How many gallons of gasoline does the car use

We will use this equation $g= 2.75t$ to solve the question.

Putting t = 6

$g= 2.75(6)$

g = 16.5 gallons

4. How far do you travel?

We can use equation $d=55t$ here

$d=55\times6=330$ miles