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
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Answer:
k = 3
Step-by-step explanation:
multiply 11 and 3 and you get 33 and then add 9 which you get 42
Answer:
Step-by-step explanation:
26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.
50% acid: 1/5 · 100 mL = 20 mL
20% acid: 100 mL -20 mL = 80 mL
Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.
_____
Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed. The amount of acid in the mix is ...
0.50(x) +0.20(100 -x) = 0.26(100)
(0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)
x = (0.26 -0.20)/(0.50 -0.20)×100 = 20
This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.
First you will get the sale price.
you need to convert the percentage to a decimal and to do that you move the decimal over twice:
30% = .30
then multiply the CD price by the decimal
$14.00 X .30 = $4.20
then you have the sales price but you need to find the tax price
to do that you move the decimal of the tax percentage over twice
7% = .07%
then multiply by the price after the sale included
.07 X $4.20 = $0.29
you have how much the tax would be
to get the total price you add the tax to the sales price
$0.29 + $4.20 = $4.42
the price you would be paying for this CD including tax is $4.42
Answer:
The answer is dilation by a scale factor of 2 followed by reflection about the y- axis.
Step-by-step explanation:
