a. The amount of buff city taxi charges 2.00 for 1/9 mile and 0.20 for each 1/9 per mile.
b. Write an equation in slope-intercept, point-slope, or standard form. Explain
why you chose the form you did.
c. What do the x-intercept and y-intercept mean in the context of this problem?
Hint: What do you pay when you step into the cab?
a. The amount that Buff City Taxi charges is $2.00 for every 1/9 mile and an additional $0.20 for each 1/9 mile travelled.
b. To write an equation for this situation, it is best to use the slope-intercept form, which is y = mx + b. This form allows us to easily see the slope and y-intercept of the equation, which have clear meanings in the context of this problem.
c. The x-intercept of the equation represents the distance travelled (in 1/9 miles) when the cost is $0. In this context, it means the point at which the taxi ride is essentially free.
The y-intercept of the equation represents the initial cost when stepping into the cab, regardless of the distance travelled. In this problem, the y-intercept would represent the starting fare of the taxi ride.