Question

a)What is Fred's fuel efficiency (gallons/mile)?(slope)b)How much gasoline did Fred have in the tankwhen he started?(y-intercept)

Answer 1

Given:

e get tehe points (25,17), (50,15), (75,13), and (100,11).

Required:

a) We need to find Fred's fuel efficiency.

b) We need to find the number of gallons of h gasoline did Fred have in the tank when he started.

Step-by-step explanation:

a)

Consider the line equation formula.

`y=mx+b`

where m is the slope and b is the y-intercept.

Consider the formula to find the slope.

`m=(y_2-y_1)/(x_2-x_1)`

Consider the points (25,17), and (50,15).

`Substitute\text{ }y_2=15,y_1=17,x_2=50,\text{ and }x_1=25\text{ in the slope formula.}`

`m=(15-17)/(50-25)`

`m=(-2)/(25)`

We get slope = -2/25=-0.08

Fred's fuel efficiency is -0.08 galons'p/mile.

b)

Substitue x =25, y=17 and m =-0.08 in the line equation to find b value.

`17=(-0.08)25+b`

`17=-2+b`

Add 2 on both sides.

`17+2=-2+b+2`

`19=b`

We get the y-intcercepts = 19 gallons.

Fred have 19 gallons of fuel in the tank when he started

Final answer:

a)

Fred's fuel efficiency is -0.08 gallons /mile.

b)

Fred have 19 gallons of fuel in the tank when he started