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olasank [31]
2 years ago
11

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes)

. The remaining credit after 39 minutes of calls is $25.32, and the remaining credit after 57 minutes of calls is $23.16. What is the remaining credit after 60 minutes of calls?
Mathematics
1 answer:
kondor19780726 [428]2 years ago
6 0

One way to write a linear equation is the formula y = mx + b where m is the slope of the function and b is the y-intercept. For this reason, it is known as slope-intercept form.

The slope os calculated via the formula \frac{y_2 - y_1}{x_2 - x_1}. Lets calculate the slope of the equation first.

\frac{23.16 - 25.32}{57 -39}

\frac{-2.16}{18}

-0.12

So the slope is -0.12. This means for every minute of time used, $0.12 of credit is used. Next, lets plug in the value for m, and the values of an x and y point to find b.

y = 0.12x + b

23.16 = -0.12(57) + b

23.16 = -6.84 + b

30 = b

So, our final equation is y = -0.12x + 30.

Finally, we can use this equation to find the answer to the last part by plugging the value into x.

y = -0.12(60) + 30

y = -7.2 + 30

y = 22.8

So when 60 minutes have been used, there will be $22.80 worth of credit left.

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Sedaia [141]

Answer:

The  confidence interval is  0.304 <  p  < 0.324

Step-by-step explanation:

From the question we are told

      The sample proportion \r p  =  0.314

      The margin of error  is E =  0.01

The confidence interval for  p is mathematically represented as

       \r p -  E  <  p  < \r p + E

=>    0.314 -  0.01  <  p  < 0.314 +  0.01

=>   0.304 <  p  < 0.324

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3 years ago
Each person on a four-person relay team completed a race in approximately 18.1 seconds. How long did it take the relay team to f
likoan [24]

Answer:

72.4 seconds

Step-by-step explanation:

We are given that,

Time taken by each person in the team = 18.1 seconds

Number of members in the team = 4

It is required to find the total time taken by the team to finish the race.

Thus, the time taken taken = 4 × 18.1 = 72.4 seconds

Hence. the team finished the race in 72.4 seconds.

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3 years ago
 2 m³ of soil containing 35% sand was mixed into 6 m³ of soil containing 15% sand. What is the sand content of the mixture?
Alex17521 [72]
.2 m^3 is 10 percent
.2 m^3 is 10 percent
.2 m^3 is 10 percent
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.6m^3 is 10%
.3 m^3 is 5%
so .9m^3 is 15 %

all in .9m^3 +.7m^3 = 1.6 m^3 will be sand
6 0
3 years ago
Simplify:(-<br> 17)^8÷(-17)^2
lidiya [134]

The simplified answer is -17^6\\

If you are dividing powers with like terms you subtract the denominator to the numerator.

\frac{-17^8}{-17^2} = -17^6

8 0
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Which statement about fractions that are equivalent to 1/2 is true?
DochEvi [55]

Answer: MARK BRAINLIEST

These statements are true.

4/5 < 1

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Step-by-step explanation:    

8 0
3 years ago
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