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olganol [36]
2 years ago
11

Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per

month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Sarah can use while staying within her budget.
Mathematics
1 answer:
zalisa [80]2 years ago
7 0

Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.

<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, and can also be interpreted as the initial value of the function.

Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:

C(g) = 4g + 69.

She wants to keep her bill at $83.80 per month, hence:

C(g) = 83.80

4g + 69 = 83.80

4g = 14.80

g = 14.80/4

g = 3.7.

Sarah can use 3.7 gigabytes while staying within her budget.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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True [87]

Answer:

60x + 18

Step-by-step explanation:

8x - 4 [2x - 5 ( 3x + 1 )] - 2 [x - (x - 1)]

distribute

8x - 4 [2x - 15x - 5] - 2 [x - x + 1]

combine like-terms

8x - 4 [- 13x - 5] - 2 [1]

distribute again

8x + 52x + 20 - 2

combine like-terms again

60x +18

7 0
3 years ago
A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rat
Yuki888 [10]

A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate.

from the given table

when x=0 , y=20

when x= 1 , y = 30

We use this information to find exponential growth equation

General form of exponential growth is

y=a(b)^x

WE plug in the given values and find out value of a  and b

when x=0 , y=20

20=a(b)^0

20 = a

Now we find out b

when x= 1 , y = 30

30=20(b)^1

divide both sides by 20

\frac{3}{2} = b

So exponential function becomes

y=20(\frac{3}{2})^x

Now we find the insect population at the end of week 11

We plug in 11 for x

y=20(\frac{3}{2})^x

y=20(\frac{3}{2})^11= 1729.951171875

Round the answer to nearest whole number

1730 is the insect population at the end of week 11

5 0
3 years ago
85 is what percent of 170?
natta225 [31]
121.4285%
Hope this helped
5 0
3 years ago
Read 2 more answers
Simplify -3y+2x-5y-7x
Sphinxa [80]
<h3><em><u>Simplify -3y+2x-5y-7x is:</u></em></h3><h3>-8y - 5x</h3>

<em><u>Solution:</u></em>

<em><u>Given that, we have to simplify</u></em>

-3y + 2x-5y-7x

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable ( with same exponent) with same or different coefficient

From given,

-3y + 2x-5y-7x

Here, like terms are -3y and -5y

And 2x and -7x

Group the like terms

-3y-5y+2x-7x

Combine the like terms

-8y -5x

Thus the given expression is simplified

6 0
3 years ago
Use △XYZ, in which ∠X is a right angle and tanY=815.
Neporo4naja [7]

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

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8² + 15² = YZ²

√289 = YZ

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From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

8 0
3 years ago
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