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Sagot :
Awnser:
Natalie Spent $59.54 on songs after 5 months at online music service.
Step-by-step explanation:
Given:
Total membership cost =$14.99
Number of songs purchased in each month = 9
Cost per song = $0.99
We need to find total amount she had spent after 5 months.
Solution:-
So First we will Number of songs purchased in 5 months.
1 month = 9 songs
So in 5 months = Songs purchased in 5 months.
By Using Unitary method we get;
Songs purchased in 5 months =
Now Also Given:
1 song = $0.99
45 songs = Cost for 45 songs.
Again by using Unitary method we get;
Cost for 45 songs =
No Total Amount Natalie spent after 5 months is equal to Total membership cost plus Cost of songs purchased in 5 months.
framing in equation form we get;
Total Amount Natalie spent =
Hence Natalie Spent $59.54 on songs after 5 months at online music service.
The expression representing Natalia’s total charge, in dollars, for a membership lasting m months is given by: Option B: 1.09(5.95m) + 15
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Given that:
- Monthly membership fee by online music service considered = $5.95
- Tax of 9% on monthly fee
- One time initiation fee = $15
- Time for which she uses this service = m months
Total charge Natalia has to pay for m months = Monthly membership fees for m months + 9% tax on it per month + one time initiation fees.
Monthly membership fees + tax amount = $5.95 + 9% of $5.95
= [tex]5.95 + \dfrac{5.95}{100} \times 9 = 5.95 (1 + 0.09) = 5.95(1.09)[/tex] (in dollars)
This is paid for 'm' months, so:
Membership fees + tax amount (for m months) = [tex]5.95 \times (1.09)\times m[/tex] (in dollars)
And as One time initiation fee = $15, thus, we get:
Total charge Natalia has to pay for m months = [tex]5.95 \times (1.09)\times m + 15[/tex]
Equivalently, this is 1.09(5.95m) + 15 (in dollars) (as given by Option B)
(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Thus, the expression representing Natalia’s total charge, in dollars, for a membership lasting m months is given by: Option B: 1.09(5.95m) + 15
Learn more about forming equations here:
https://brainly.com/question/11938672
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