The gallons of gasoline used on a car trip varies directly as the number of miles driven. If 25 gallons of gasoline has been used after driving 700 miles, how many gallons of gasoline would be used after driving 1000 miles? Round your answer to the nearest tenth

35.7 gallons

Step-by-step explanation:

Given that:

Distance traveled = 700 miles

Gasoline used = 25 gallons

The gallons of gasoline used are directly proportional to the number of miles traveled.

To find the gallons of gasoline to be used after driving 1000 miles, we can use the unitary method in which we first of all find, how much gallons of gasoline would be used for 1 mile and then multiply the value with 1000 to find the answer.

700 miles are traveled by gallons of gasoline = 25

1 mile is traveled by gallons of gasoline =

1000 miles are traveled by gallons of gasoline =

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)