Beth, Manuel, and Petra
are collecting sponsors for a walk-a-thon. The equation
y=20x represents the amount of money Beth raises
for walking x miles. The table shows the relationship
between the number of miles Manuel walks and the
amount of money he will raise. Petra will earn $15 for
each mile that she walks

A.in order to compare the proportional relationships, what quantities should you use to find the unit rate?

B.compare the amount of money raised per mile by the three people

Question

01-10-2021
Mathematics

contestada

Beth, Manuel, and Petra
are collecting sponsors for a walk-a-thon. The equation
y=20x represents the amount of money Beth raises
for walking x miles. The table shows the relationship
between the number of miles Manuel walks and the
amount of money he will raise. Petra will earn $15 for
each mile that she walks

A.in order to compare the proportional relationships, what quantities should you use to find the unit rate?

B.compare the amount of money raised per mile by the three people

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fichoh fichoh · Answer 1 · 2021-10-13T21:07:00+02:00

To obtain the value of the amount earned for each mile walked, the quantities required are ; the amount earned for a given number of miles.

The amount raised per mile for each of the three include :

Beth = $20
Manuel = $15
Petra = $15

To obtain the unit rate, which is the amount earned for each mile walked ; we take the ratio of the amount earned for specified number of miles.

Amount raised by Beth :

y = 20x

The slope value of the equation represents the amount raised, y for each mile, x walked which is $20

Amount raised by Manuel :

From the table :

3 miles = $45

Let the amount raised for walking 1 mile = a

Hence, we have ;

3 miles = $45

$1 = x

Cross multiply :

3x = $45

Divide both sides by 3

3x/3 = $45/3

x = $15

Amount raised by Petra :

Petra is said to earn $15 per mile

Therefore, both Manuel and Petra earn the same amount per hour, while Beth earned $5 per hour more than Petra's earning.

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