Your running a fuel economy study. You find a blue car. It travels 44 1/2 miles on 1 1/4 gallons of gasoline another car is red it can travel 20 4/5 miles on 4/5 gallons of gasoline what is the unit rate for miles per gallon for each car? Which car could travel the greatest distance on one gallon of gasoline

Given:

Blue car travels miles on gallons of gasoline.

Red car travels miles on gallons of gasoline.

To find:

The unit rate for miles per gallon for each car and find which car could travel the greatest distance on one gallon of gasoline.

Solution:

We know that,

Using this formula, the unit rate of blue car is

Unit rate of red car is

Therefore, the unit rate of blue car is 35.6 miles per gallon of gasoline and  unit rate of red car is 26 miles per gallon of gasoline.

Since, unit rate of blue car is greater than the red car, therefore blue car travel the greatest distance on one gallon of gasoline.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

answer: give more info

step-by-step explanation: