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Yuki888 [10]
3 years ago
15

This graph represents a proportional relationship between the number of months, x, data is used on a cell phone and the total co

st of data usage, y.
The equation that represents the graph above is y =
x.

The cell phone company decides to raise the data prices to charge $90 every 2 months. The new equation that would represent this relationship is y =
x.

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

The equation that represents the graph is y = 40x

The new equation would be y = 45x

Step-by-step explanation:

As y increases by 40, x increases by 1, so 40/1, or 40

New equation: $90 per 2 months, y = 90, x = 2, 90/2 = 45

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Nimfa-mama [501]
It could be any number that is 4 and under
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3 years ago
A store received a shipment of soup cans. The clerk put an equal number of cans on each of 4 shelves. Write an equation to repre
icang [17]
To represent the number of cans in each shelf you will divide the total number of cans by the number of shelves.

This is represented as
t/4 = n.
8 0
3 years ago
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In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

3 0
3 years ago
There are 63 students in a speech contest.Yesterday 1/3 gave a speech and today 2/3 of the remaining students gave their speech.
Paraphin [41]

Hey!

-----------------------------------------------

Solution:

Find 1/3 of 63.

63 / 3 = 21

21 students gave a speech today.

63 - 21 = 42

Find 2/3 of 42.

42 / 3 = 14

14 x 2 = 28

28 of the remaining students gave their speeches.

42 - 28 = 14

-----------------------------------------------

Answer:

14 students haven't given their speeches!

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Hope This Helped! Good Luck!

7 0
3 years ago
8 x 10^-3 is how many times as great as 4 x 10^-6
mamaluj [8]

For this case we can rewrite the expressions as:

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That is, we run the decimal six times to the left.

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Answer:

3 * 10 ^ {- 3}is 0.002996 times bigger than 4 * 10 ^ {- 6}

7 0
3 years ago
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