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tankabanditka [31]
3 years ago
9

The graph shows the cost of some taxi journeys work out a formula for c in terms of n

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0

Answer:

c=\frac{3}{5}(n)+2.5

Step-by-step explanation:

see the attached figure to better understand the problem

Let

c -----> the cost of some taxi journeys

n ----> the number of miles

we know that

The graph is a line

The equation of a line in slope intercept form is

c=m(n)+b

where

m is the slope

b is the c-intercept (value of c when the value of n is equal to zero)

Observing the graph  we have the points

(0,2.5), (5,5.5)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{c2-c1}{n2-n1}

substitute the values

m=\frac{5.5-2.5}{5-0}

m=\frac{3}{5}

we have

b=2.5 -----> because the point (0,2.5) is the c-intercept

substitute in the equation of slope-intercept form

c=\frac{3}{5}(n)+2.5

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