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kozerog [31]
4 years ago
10

Oranges are on sale for $0.78 per pound. Bananas are on sale for $0.50 per pound. Debbie buys only oranges at the store this wee

k. Is the total price she pays proportional to the pounds of oranges she purchased?
Mathematics
2 answers:
mixas84 [53]4 years ago
5 0

Answer: May you please have answer choices. Please forgive me if I am being rude but I am not.

Fittoniya [83]4 years ago
5 0

Answer:

Yes, the total price is proportional to the pounds of oranges she purchased.

Step-by-step explanation:

The price of oranges is $0.78 per pound.

So, the price $0.78 corresponds to one pound, in a way, that is called <em>direct proportionality.</em>

This means that the price will increase or decrease in a <em>constant ratio</em>, depending on the amount of pounds purchased.

For example:

If she buys 1 pound of oranges she will pay $0.78. Ratio is 0.78 (0.78/1)

If she buys 2 pounds of oranges she will pay $1.56. Ratio is 0.78 (1.56/2)

If she buys 2.5 pounds of oranges she will pay $1.95. Ratio is 0.78 (1.95/2.5)

If she buys 3 pounds of oranges she will pay $2.34. Ratio is 0.78(2.34/3)

We can see that ratio is constant, then we can say that <em>the total price she pays is proportional to the pounds of oranged purchased.</em>

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The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348

For the four years, the monthly payment is,

m=\dfrac{11422.6348}{12\times4}\\m=237.97

The monthly payment of unsubsidized loan is $237.97.

The monthly payment of subsidized loan is $202.80.

The difference between the unsubsidized and subsidized loan monthly payment is,

d=237.97-202.80\\d=35.17\\d\approx 35.05

Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Learn more about the compound interest here;

brainly.com/question/24274034

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