A cab company in OKC charges a set fee of 300 plus 80 per mi

A cab company in OKC charges a set fee of $3.00, plus $.80 per mile traveled. A cab company in Denver charges a set fee of $5.00, plus $.80 per mile traveled.

1. For the first company, express in words the amount the cab company charges per ride and per mile.

2. Write an equation in slope-intercept form.

3. What do the slope and y-intercept mean in the context of this problem?

For the second company, express in a table the cost of the cab ride given the numer of miles provided.

Number of Miles: 0, 1, 2, 3, 4, 5

Total cost (dollars): for every mile

b. Write an equation in slope-intercept form.

c. What does the slope mean in the context of the problem?

Solution

Let x be the number of miles travelled.

1. The amount chaged by the Company for a ride of x miles is $ (3 + 0.8x ) The amount charged by the Company per mile is $ (3+0.8x)/x.

2. For the 1st Company, the required equation is y = 3 +0.8 x where y is the amount charged( in $) and x is the no. of miles travelled. For the 2nd mpany, the required equation is y = 5 +0.8 x where y is the amount charged( in $) and x is the no. of miles travelled.

3. The intercept here means the minimum amount payable ( when x = 0).The slope is 0.8 in both the cases, which means that the rate payable per mile is $ 0.80.This is in addition to the minimum amount payable.

The required table is as under:

b. For the 2nd mpany, the required equation is y = 5 +0.8 x where y is the amount charged( in $) and x is the no. of miles travelled.

c. In the context of the problem, the slope means the rate payable for the cab ride, per mile( in addition to the fixed charge)