SOLUTION: Can you show the work as well as the answer please. Problem: A 2 mile cab ride costs $5.25. A 5 mile cab ride costs $10.50. How much does a 3.8 mile cab ride cost?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Can you show the work as well as the answer please. Problem: A 2 mile cab ride costs $5.25. A 5 mile cab ride costs $10.50. How much does a 3.8 mile cab ride cost?      Log On

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Question 217471: Can you show the work as well as the answer please.
Problem:
A 2 mile cab ride costs $5.25. A 5 mile cab ride costs $10.50. How much does a 3.8 mile cab ride cost?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A 2 mile cab ride costs $5.25. A 5 mile cab ride costs $10.50. How much does a 3.8 mile cab ride cost?
:
Write a linear equation using the given values as follows
x1 = 2; y1 = 5.25
x2 = 5; y2 = 10.50
:
Find slope (m) using the slope formula: m = %28y2+-+y1%29%2F%28x2+-+x1%29
m = %2810.50+-+5.25%29%2F%285+-+2%29 = %285.25%29%2F%283%29 = 1.75
:
Use the point/slope equation: y - y1 = m(x - x1)
y - 5.25 = 1.75(x - 2)
y - 5.25 = 1.75x - 3.5
y = 1.75x - 3.5 + 5.25
y = 1.75x + 1.75; the equation
;
Find the cost of a 3.8 mi cab ride, substitute 3.8 for x and find y
y = 1.75(3.8) + 1.75
y = 6.65 + 1.75
y = $8.40 for 3.8 mi ride