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.
Explanation:
a)
Consider the line equation formula.
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Consider the formula to find the slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Consider the points (25,17), and (50,15).
[tex]Substitute\text{ }y_2=15,y_1=17,x_2=50,\text{ and }x_1=25\text{ in the slope formula.}[/tex]
[tex]m=\frac{15-17}{50-25}[/tex]
[tex]m=\frac{-2}{25}[/tex]
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.
[tex]17=(-0.08)25+b[/tex]
[tex]17=-2+b[/tex]
Add 2 on both sides.
[tex]17+2=-2+b+2[/tex]
[tex]19=b[/tex]
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
