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weeeeeb [17]
3 years ago
8

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

Mathematics
2 answers:
EastWind [94]3 years ago
7 0
A. R = m + 50 ..........
spin [16.1K]3 years ago
4 0

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

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