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ZanzabumX [31]
3 years ago
12

Dianne knows a phone call a friend for the first 3 minutes costs 25 cents and 10 cents for each additional minute

Mathematics
1 answer:
dlinn [17]3 years ago
3 0

Question:

Diane knows a phone call to a friend costs .25 for the first three minutes and .10 for each additional minute. Let y be the cost of a call that lasts x minutes. Write the slope and an equation relating x and y.

Answer:

Slope  =  0.10 or  \frac{1}{10}\\

Equation relating x and y is y =  0.10x- 0.05

Step-by-step explanation:

Given:

Cost for first three minutes  = 0.25 cents

Cost for each additional minute = 0.10 cents

To Find:

The slope and an equation relating x and y = ?

Solution:

Let y be the cost of a call that lasts x minutes

Then,

y = 0.25 + 0.10(x-3)

y = 0.25 + 0.10x- 0.30

y =  0.10x- 0.05-------------------(1)

In the equation

y = mx +b------------------------------(2)

m is the slope

Comparing eq(1) and(2)]

m =0.10 or  \frac{1}{10}\\

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<h3>Further explanation</h3>

<u>Given: </u>

  • The total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib.
  • The weight of the bag of sugar is 1.4 Ib

<u>Question: </u>

What is the weight of each piece of butter?

<u>The Process: </u>

The two steps for obtaining the weight of each piece of butter are as follows:

<u>Step-1:</u> the total amount of butter is the total bag of butter and sugar subtracted by the weight of the bag of sugar.

\boxed{ \ 3.8 \ lbs - 1.4 \ lbs = 2.4 \ lbs \ }

<u>Step-2:</u> the total amount of butter divided by the number of pieces of butter is the the weight of each piece of butter.

\boxed{ \ 2.4 \ lbs \div 6 \ pieces = \boxed{ \ 0.4 \ lbs/piece \ } \ }

Let's also consider the following quick steps.

<u>Quick steps: </u>

\boxed{ \ \frac{(3.8 - 1.4) \ lbs}{6 \ pieces} = \boxed{ \ 0.4 \ lbs/piece \ } \ }

Therefore, the weight of each piece of butter is 0.4 lbs.

<h3>Learn more </h3>
  1. What is the cost of the toy car? brainly.com/question/5282516
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