For the second company, express in a table the cost of the cab ride given the
number of miles provided.
Number
of Miles
0
1
2
3
4
5
Total
Cost
(dollars)
$0
$0.70
$1.40
$2.10
$2.80
$3.50
a. y = mx + b. So, the equation would be y - 3.50 = 0.70x. Explain
why you chose the form you did.
b. What does the slope mean in the context of the problem?
a. The equation y = mx + b is in slope-intercept form, where m is the slope of the line and b is the y-intercept. In this case, we chose this form because we have a linear relationship between the number of miles (x) and the cost of the cab ride (y). The slope represents the rate of change (cost per unit of distance) and the y-intercept represents the fixed cost (cost when no miles are traveled).
b. In this context, the slope represents the cost per unit of distance traveled. In the given table, the slope is 0.70, which means that for every additional mile traveled, the cost of the cab ride increases by $0.70.