what is a ratio that compares the amount of chande in the dependent variable to the amount of change in the independent variable

A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init

Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is $b = 25$ , the slope is of $a = 0.09$ , and the function is:

$A(x) = 0.09x + 25$

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is $b = 0$ , the slope is of $a = 0.14$ , and the function is:

$B(x) = 0.14x$

The plans cost the same for x minutes of calling, considering that:

$B(x) = A(x)$

$0.14x = 0.09x + 25$

$0.05x = 250$

$x = \frac{250}{0.05}$

$x = 5000$

The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

6 0

2 years ago

The sum of 1/11 and 1/15 is closest to....

Afina-wow [57]

$\frac{1}{11}+\frac{1}{15}=\frac{1\cdot15}{11\cdot15}+\frac{1\cdot11}{15\cdot11}=\frac{15}{165}+\frac{11}{165}=\frac{15+11}{165}=\frac{26}{165} < \frac{1}{2}\\\\\frac{1}{11}+\frac{1}{15}\approx0$

4 0

3 years ago

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2. Which product is negative?

Paul [167]

Answer:

B) , C)

Step-by-step explanation:

Assuming that you are multiplying each of the numbers for each given answer.

Look at the amount of negative signs provided. Odd amounts of negative will always guarantee a product of a negative answer. Even amounts of negative will always guarantee a product of a positive answer.

In this case, C. -4 , -4 , -4 , 4 & B. -4 , -4, -4, 4 are your answers, for both only have 3 negative signs, which would make a negative answer.

~

8 0

3 years ago

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After ordering the data set, what is the next step in drawing a box plot that shows the distribution of the amounts spent? 1. Ma

vodka [1.7K]

Answer:

2. Find the five boundary values

Step-by-step explanation:

When drawing a dot, the steps are;

i) The data set (the list of numbers to be presented in the dot plot) are arranged in increasing order from left to right, with thee lowest value on the left and the highest value located at the right of the list

ii) The five boundary values are listed as follows;

The Minimum and Maximum Values

1) The minimum value is the lowest number in the list, which is the first number from the left

2) The maximum value is the final number on the right of the list

3) The Median, Q₂

The median number is the number which divides the data arranged in increasing number, into two equal parts

The First Quartile and Third Quartile

The numbers are divided from the median, such that the Lower half is to the left of the Median, and the Upper half is to the right of median

4) The First Quartile, Q₁ = The median of the Lower half

5) The Third Quartile, Q₂ = The median of the Upper half

iii) The box plot is then drawn with the five boundary values found above

3 0

3 years ago

Jeremy makes 3 out of every 5 basketball shots he attempts. If he shoots the ball 65 times, how many shots can Jeremy expect to

Fynjy0 [20]

Answer:

39

Step-by-step explanation:

multiply the 5 by 13 and get 65 and multiply thr 3 by 13 its 39

7 0

3 years ago

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