Question

3
The table below shows total costs, in dollars, of a truck rental when the truck is
driven m miles.
m
C
50
21.45
100
33.95
150
46.45
200
58.95
»
Which equation represents the data in the table?
A. c = 0.25m + 8.95
B. с 12.50m + 8.95
C. c 0.25m + 21.45
D. C = 12.50m + 21.45
4
Consider each of the scenarios below. If initial values were provided for each
scenario, which could be modeled by an equation of the form

Answer 1

The table follows a linear pattern

The equation that represents the date on the table is C=0.25m + 8.95

What are linear patterns?

Linear patterns are equations that have constant rates or slopes

How to calculate the equation

From the table, we have the following ordered pair

(m,C) = (50,21.45) and (100, 33.95)

We start by calculating the slope using:

$s = \frac{C_2 -C_1}{m_2 -m_1}$

So, we have:

$s = \frac{33.95 - 21.45}{100 - 50}$

$s = \frac{12.5}{50}$

$s = 0.25$

The equation is then calculated using:

$C=s(m - m_1) + C_1$

So, we have:

$C=0.25(m - 50) + 21.45$

Open the bracket

$C=0.25m - 12.5 + 21.45$

$C=0.25m + 8.95$

Hence, the equation of the total cost is C=0.25m + 8.95

Read more about linear equations at:

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