Graph this linear problem

Question

You have two cars. The first car travels an average of 20 miles on a gallon of gasoline, and the second averages 26 miles per gallon. Suppose you can afford to buy up to 35 gallons of gas this month. If the first car is driven x miles, and the second car, y, shade the region that gives all possible values of x and y that will keep you from buying more than 35 gallons of gas this month

Answer 1

x,y = miles

x/26+ y/20 </= 35

10x + 13y </= 35(260)= 9105

0</= x </= 910.5 miles max for the car with 26 mpg

0</= y </= 700.4 miles max for the car with 20 mpg

draw a triangle, with vertices (0,0), (910.5,0), (0,700.4)

connect them with line segments, with darkened lines

shade all points inside that triangle