## In a certain city the cost for a taxi ride for 20 miles is $13. For 30 miles the cost is $18. Assuming the number of miles is x find the lin

Question

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## Answers ( No )

We need to write the linear equation that is satisfied by (20,13) and (30,18).

$18 – $13 $5

The slope is m = ————— = ——– = $0.50/mile

30 – 20 10

We need to find the y-intercept of this function. To do that, start with the slope-intercept form y = mx + b

and subst. the y and x values from one of the two given points. Suppose we choose (20,$13):

$13 = ($0.50/mile)(20 miles) + b

Then $13 = $10 + b, and b = $3.

There’s an up-front charge of $3 just to step into the taxi.

The equation in question is y = ($0.50/mile)x + $3.00 (answer)