Use the graph to evaluate each expression.

Q: A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte.

DiKsa [7]

The linear equation which can be used to determine a user's monthly

bill is c = 60 + 0.05 d ⇒ D

Step-by-step explanation:

The given is:

A cell phone company charges $60.00 a month for up to 1 gigabyte of data
The cost of additional data is $0.05 per megabyte
d represents the number of additional megabytes used
c represents the total charges at the end of the month

We need to find which equation can be used to determine a user's monthly bill

The form of the linear equation is y = mx + b, where b is the constant amount and m is the rate of change

∵ The company charges $60.00 a month for up to 1 gigabyte of data

- That means it is a constant amount each month

∴ b = 60

∵ The cost of additional data is $0.05 per megabyte

- That means it depends on the number of additional megabyte,

so it is not constant, it is the rate of change

∴ m = 0.05

∵ d represents the number of additional megabytes

∴ x = d

∵ c represents the total charges at the end of the month

∴ y = c

Substitute y by c, m by 0.05, x by d and b by 60 in the form of the linear equation above

∴ c = 0.05 d + 60

- We can rearrange the terms of the right hand side

∴ c = 60 + 0.05 d

The linear equation which can be used to determine a user's monthly

bill is c = 60 + 0.05 d

Learn more:

You can learn more about linear function in brainly.com/question/9801816

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7 0

3 years ago

Find the volume of the following compound shape.

Bess [88]

<h3>Given:</h3>

Cone
Cylinder

<h3>Volume of the cone:</h3>

$v = \frac{1}{3} \pi {r}^{2} h$

$v = \frac{1}{3} \times \pi \times {10}^{2} \times 10$

$v = 1047.20 \: {cm}^{3}$

<h3>Volume of the cylinder:</h3>

$v = \pi {r}^{2} h$

$v = \pi \times {10}^{2} \times 10$

$v = 3141.59 \: {cm}^{3}$

<h3>Total volume:</h3>

$v = 1047.20 + 3141.59$

$v = 4188.79 \: {cm}^{3}$

Hence, the volume of the given cone shape is 4188.79 cubic centimeters.

5 0

2 years ago

Read 2 more answers

What is an equation for the line with slope 2/3 and 7-intercept 9? 30 points to whoever answers this correctly and gets brainlie

Annette [7]

The equation of the line is y = $\frac{2}{3}$ x + 9

Step-by-step explanation:

The equation of a line in slope-intercept form is y = m x + b, where

m is the slope of the line
b is the y-intercept ⇒ the value of y when x = 0

∵ The line has a slope $\frac{2}{3}$

∴ m = $\frac{2}{3}$

∵ The y-intercept is 9

∴ b = 9

- Substitute the values of m and b in the form of the equation below

∵ y = m x + b

∴ y = $\frac{2}{3}$ x + 9

The equation of the line is y = $\frac{2}{3}$ x + 9

Learn more:

You can learn more about the linear equations in brainly.com/question/12941985

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4 0

3 years ago

Name the algebraic property demonstrated in the example below: x ⋅ y ⋅ z = y ⋅ x ⋅ z

IRISSAK [1]

The order was just switched around, and it is multiplication, so we can conclude that it is the "Commutative Property of Multiplication"

5 0

3 years ago

Read 2 more answers

Geometry | Surface Area | Need Help On One!

astraxan [27]

Answer: the answer is ccc

Step-by-step explanation: hey

4 0

3 years ago