Answer:
Explanation:
The taxi ride in Detroit cost $11 for 2 miles and $18 for 4 miles.
Let x be the number of miles and y be the total fare.
Taking points (2, 11) and (4, 18), the slope of the graph is expressed as
Slope, m = (y2 - y1)/(x2 - x1)
y2 =18
y1 = 11
x2 = 4
x1 = 2
Slope, m = (18 - 11) / (4 - 2) = 7/2
A. Equation in slope intercept form is written as y = mx + c. Our equation becomes
y = 7x/2 + c
B. To determine the initial fee, let us first find the intercept, c of the equation. Using point (4, 18), it becomes
18 = 7×4/2 + c
18 = 14 + c
c = 18 - 14 = 4
Our equation becomes
y = 7x/2 + 4
The initial fee would be when x = 0. It becomes
y = 7 × 0/2 + 4
y = $4
C. The price per mile is the slope. Therefore,
The price per mile = 7/2 = $3.5
D. 10 miles would cost 10× 3.5 = $35