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Neko [114]
2 years ago
5

The amount of money Chaz earned for walking dogs is given in the table. Can the relationship be described by a constant rate? Ex

plain.

Mathematics
1 answer:
mojhsa [17]2 years ago
7 0

Answer:

Yes, the relationship can be described by a constant rate of $18.75 per dog

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x ----> the number of dogs

y ---> the amount of money earned

we have the points

(6,112,50), (8,150), (11,206.25)

step 1

Find the slope with the first and second point

(6,112,50), (8,150)

m=(150-112.50)/(8-6)=18.75

step 2

Find the slope with the first and third point

(6,112,50), (11,206.25)

m=(206.25-112.50)/(11-6)=18.75

Compare the slopes

The slopes are the same

That means, that the three points lies on the same line

therefore

Yes, the relationship can be described by a constant rate of $18.75 per dog

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\bold{\huge{\orange{\underline{Solution}}}}

\bold{\underline{ Given :- }}

  • <u>While </u><u>shopping </u><u>for </u><u>clothes </u><u>Tracey </u><u>spent </u><u>3</u><u>8</u><u>$</u><u> </u><u>less </u><u>than </u><u>3</u><u> </u><u>times </u><u>of </u><u>what </u><u>Daniel </u><u>spent </u>

\bold{\underline{ To\: Find :- }}

  • <u>We </u><u>have </u><u>to </u><u>determine </u><u>the </u><u>total </u><u>cost </u><u>spent </u><u>by </u><u>daniel</u>

\bold{\underline{ Let's \: Begin :- }}

Cost spent by Tracey for her clothes = 38$

Let assume the spending by Daniel is x

\bold{\underline{Therefore ,}}

\sf{ x / 3 = 38 }

\sf{ x  = 38 × 3 }

\sf{ x = 114 dollar }

\sf{\red{ Hence,\: Daniel\: spent\: 114 \: dollars\: on \: His\: clothes }}

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