Question

a car can travel 476 miles on 14 gallons of gas write an equation relating to the distance D to the number of gallons G. how many gallons of gas does this car need to travel 578 MI

Answer 1

step 1

Find the unit rate

divide the total miles by the total gallons of gas

so

476/14=34 miles/gal

Let

y ------> the distance in miles

x -----> the number of gal

we have that

the linear equation is equal to

y=34x

part 2

If y=578 miles

Find the value of x

substitute in the equation

578=34x

solve for x

x=578/34

x=17 gallons