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Lubov Fominskaja [6]
3 years ago
7

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 n

umber 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?
Mathematics
2 answers:
lana [24]3 years ago
4 0

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!!!

Elina [12.6K]3 years ago
4 0

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

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