Mary is 197 miles away from home and traveling farther away

Mary is 197 miles away from home and traveling farther away. The car gets 36 miles per gallons.

(1) What is the slope for this line in terms of miles per gallon_________________? Enter as a fraction a/b.

(2) What is the M-intercept of this line, where M is the distance away from home (___________, ____________)

(3) What is the equation of this line that will determine how far from home M, Mary is after using G gallons of gas? Enter fraction as a/b and enter algebra as on your paper. Example: enter like this__3/5G+4 M=___________. (4) How far will Mary get away from home with only 10 gallons of gas___________________miles?

Solution

1) as you need the slope in terms of miles per gallon that will be 36 miles per gallons

2) the distance away from home is 197

3) M= 36*G + 197

4) M =36 * 10 + 197 = 557