Question

The table below shows how much Lupe earns for each mile he walks for a library fundraiser.

Answer 1

A. R = m + 50 ..........

Answer 2

Answer:

Option A is correct

R = 50 + 10m

Step-by-step explanation:

Slope intercept form:

The equation of line is given by:

$y=mx+b$         ....[1]

where,

m is the slope of the line and b is the y-intercept.

As per the statement:

The given table shows how much Lupe earns for each mile he walks for a library fundraiser.

Here, R represent the number of dollars he raises for the fundraiser and m represents the number of miles.

Formula for slope.

$\text{slope} = \frac{y_2-y_1}{x_2-x_1}$

from the given table.

Consider two points in the form of (m, R) i.e

(0, 50) and (1, 60)

then;

$\text{slope} = \frac{60-50}{1-0}$

⇒$\text{slope} = \frac{10}{1}$

⇒Slope = 10

Using slope intercept form we have;

$R = 10m+b$

Substitute (2, 70) and solve for b.

70 = 10(2)+b

⇒70=20+b

Subtract 20 from both sides we have;

50 = b

or

b= 50

⇒R = 10m+50

Therefore, an  equation represents how much Lupe will raise for m miles is, . R = 50 + 10m