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kompoz [17]
3 years ago
5

The sale price of a spring break vacation package was $209.99 the travel agent said by booking early you saved $20.00. Find the

percent decrease in price
Mathematics
1 answer:
prisoha [69]3 years ago
7 0

Answer:

<em></em>\%\ decrease =  9.52\%<em></em>

<em></em>

Step-by-step explanation:

Given

Sales\ Price = \$209.99

Saved = \$20.00

Required

Determine the %decrease

First, we need to determine the amount paid

Amount = Sales\ Price - Amount\ Saved

Amount = \$209.99 - \$20.00

Amount = \$189.99

The percentage decrease is the calculated as follows:

\%\ decrease = -100\% * \frac{Final - Initial}{Initial}

In this case;

Initial = Sales\ Price = \$209.99

Final = Amount\ Paid = \$189.99

So; we have:

\%\ decrease = -100\% * \frac{189.99 - 209.99}{209.99}

\%\ decrease = -100\% * \frac{-20}{209.99}

\%\ decrease = 100\% * \frac{20}{209.99}

\%\ decrease =  \frac{2000\%}{209.99}

\%\ decrease =  9.52426306015\%

<em></em>\%\ decrease =  9.52\%<em> (Approximated)</em>

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They will each have saved $70.

Jessica is saving at a faster rate than Raphael.

The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.

Step-by-step explanation:

The formula for Jessica’s savings is

y = 10x + 20

She is saving at the rate of $10/wk .

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When the two savings are equal

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=====

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Raphael has also saved $70.

=====

Jessica is saving at a faster rate than Raphael.

She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.

The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.

The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.  

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