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ryzh
27 days ago
13

Michelle wants to save $150 for a trip to the Six Flags amusement park. if she saves $12 each week, how many weeks will it take

her to save enough money

Mathematics
2 answers:
Inessa [12.5K]27 days ago
5 0
Given that the total amount is 150 and the weekly savings amount to 12, the equation can be established as follows: T = Total, 150$ W = Amount saved, 12$ which leads to 150 = 12*X or alternatively, 150/12 = X. Therefore, X equals 12.5 weeks. Thus, the answer can be expressed as 12 weeks, 3 days, and 12 hours (X=12.5).
PIT_PIT [12.4K]27 days ago
4 0
It will require her 13 weeks to have sufficient funds for her trip to Six Flags amusement park

To further clarify,

comparison involves evaluating two or more objects based on their shape, size, or quantity.

Proportional comparisons / direct proportionality entail assessing two or more values where an increase in one results in a proportional increase in the others.

This can be structured

\displaystyle \frac {x1} {y1} = \frac {x2} {y2}

Thus, if:

x = 2

then

\displaystyle y ={ \frac {y} {x} \times \: 2}while the reverse comparison / inverse proportionality refers to a situation where an increase in one value corresponds to a decrease in another or a scenario where one value diminishes at the same rate the other increases.

This can also be structured

so that if:

x = 2

then

\displaystyle y = \frac {x} {y} \times \: 2The context here is: Michelle aims to save 150$ as

she will put aside 12$ each week

The question is about determining the duration required for her to accumulate this amount

The solution unfolds as follows: each week, she saves 12$ or an equation can be framed as follows:

</h3>

1 week = 12$ while the cost needed for the Six Flags trip is

150$

We derive a second equation? weeks = 150$, which demonstrates proportional relationships, as seen in the above equations, leading to a comparison:

\displaystyle \frac{1\:weeks}{\$12} =\frac{x\:weeks}{\$150}

\displaystyle x\:weeks=\frac{\$150\times1\:weeks}{\$12}

or rounding results in:

\large{\boxed{\bold{13\:weeks}}}

For reference,

1,092 flowers can be distributed over 26 vases;

for example, dividing 878 by 31; or related scenarios like

which all relate to saving money for a trip to the park, with direct proportional comparisons in mind.
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