Alex needs to rent a minivan for a week to take his band on tour.
Easyvans charges $230 plus $0.10/km. Cars for All Seasons charges
$150 plus $0.22/km.
a) Write an equation for each rental company.
b) Graph your equations.
c) Which rental company would you recommend to Alex? Explain.
a) The equation for Easyvans is: y = 230 + 0.10x
The equation for Cars for All Seasons is: y = 150 + 0.22x
b) The graph for Easyvans would be a line with a y-intercept of 230 and a slope of 0.10. The graph for Cars for All Seasons would be a line with a y-intercept of 150 and a slope of 0.22.
c) To recommend a rental company, we need to determine which company offers a lower cost. We can compare the y-values at a certain distance, let's say 1000 km.
For Easyvans: y = 230 + 0.10(1000) = 230 + 100 = 330
For Cars for All Seasons: y = 150 + 0.22(1000) = 150 + 220 = 370
Based on this comparison, Easyvans would be recommended to Alex as they offer a lower cost for a week-long rental for his band tour.