tashfiaK2006
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the table below shows how much Lupe earns for each mile he walks for a library fundraiser.

| Miles Walked | Money Raised ($) |
| 0 | 50 |
| 1 | 60 |
| 2 | 70 |
| 3 | 80 |

Let R represent the number of dollars he raises for the fundraiser. Which equation represents how much Lupe will raise for m miles?

A. R = 50 + 10m
B. R = m + 50
C. R = 5 x 10m
D. R = 10 (m + 50)

Respuesta :

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

Answer:

Option A is correct

R = 50 + 10m

Step-by-step explanation:

Slope intercept form:

The equation of line is given by:

[tex]y=mx+b[/tex]         ....[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.

[tex]\text{slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]

from the given table.

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

(0, 50) and (1, 60)

then;

[tex]\text{slope} = \frac{60-50}{1-0}[/tex]

⇒[tex]\text{slope} = \frac{10}{1}[/tex]

⇒Slope = 10

Using slope intercept form we have;

[tex]R = 10m+b[/tex]

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

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