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A 3-mi cab ride costs $7.30. A 8-mi cab ride costs $15.30. Find a linear equation that models a relationship between cost c and distance d.
Select one:
a. c = 1.91d + 2.50
b. d = 1.60c + 8.00
c. c = 1.60d + 2.50
d. c = 2.43d + 8.00

Respuesta :

calculista

Answer:

Option c) [tex]c=1.60d+2.5[/tex]

Step-by-step explanation:

Let

d -----> the distance in miles

c ----> the cost in dollars

we have the ordered pairs

(3,7.30)  and (8,15.30)

step 1

Find the slope of the linear equation

The slope is equal to

[tex]m=\frac{15.30-7.30}{8-3}[/tex]

[tex]m=\frac{8}{5}[/tex]

step 2

Find the equation of the line in point slope form

[tex]c-c1=m(d-d1)[/tex]

we have

[tex]point\ (3,7.30)[/tex]

[tex]m=\frac{8}{5}[/tex]

substitute

[tex]c-7.30=\frac{8}{5}(d-3)[/tex]

[tex]c=\frac{8}{5}d-\frac{24}{5}+7.30[/tex]

[tex]c=1.60d+2.5[/tex]

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