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Lemur [1.5K]
1 year ago
12

Dominic is deciding if he should become a member of his local ice rink.

Mathematics
1 answer:
babymother [125]1 year ago
6 0

After 4 visits, members would pay $160

After 4 visits, non-members would pay $80

After 6 visits, members would pay $168

After 6 visits, non-members would pay $120.

The equation that can be used to solve for the number of visits the cost would be equal is $144 + 4n = $20n

The total cost for members and non-members would be $180.

Dominic can guess the number of visits he plans to make in a year. If it would be greater than 9, he should pay for the membership. If not, he should not become a member.

<h3>What is the total cost for members and non members after 4 and 6visits?</h3>

Total cost for members = annual fee + (number of visits x cost per visit)

Total cost for non-members = (admissions + parking + cost of renting the ice skate) x number of visits

After 4 visits:

Total cost for members = $144 + (4 x 4) = $160

Total cost for non-members = (11 + 5 + 4) x 4 = $80

After 6 visits:

Total cost for members = $144 + (4 x 6) = $168

Total cost for non-members = (11 + 5 + 4) x 6 = $120

The equation that can be used to solve for the number of visits the cost would be equal is: $144 + 4n = $20n

In order to determine the value of n, take the following steps:

Combine similar terms: $144 = $20n - $4n

Add similar terms together : $144 = $16n

Divide both sides by 16 : 144 / 16

n = 9

Total cost = $20 x 9 = $180

To learn more about total cost, please check: brainly.com/question/25717996

#SPJ1

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Hi there!

<u><em>FACTS</em></u><em> :</em>

<em>To see if multiple ratios are proportional, you can write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportionnal ratios. You can also write them as fractions and divide the numerator (top number) by its denominator (bottom number), and compare the decimal numbers the same way you would compare the fractions (I personnaly find this method easier because you don't need to simplify the fractions).</em>

<u>STEPS TO ANSWER:</u>

x = 1 ; y = 90 → \frac{1}{90} = 1 ÷ 90 = <u>0.01111111...</u>


x = 2 ; y = 150 → \frac{2}{150} = 2 ÷ 150 = <u>0.0133333...</u>


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x = 4 ; y = 270 → \frac{4}{270} = 4 ÷ 270 = <u>0.0148148...</u>


x = 5 ; y = 330 → \frac{5}{330} = 5 ÷ 330 = <u>0.01515152</u>


<em>** You didn't really need to calculate them all because even the first two decimal numbers weren't equivalent, but I wanted to show you the whole process so I calculated them all.</em>


⇒ If you compare all the decimals you got, you can easily see that they are not the same, which means that the ratios between the values of "x" and the values of "y" are not proportional. Therefore, George's reasoning wasn't good.


There you go! I really hope this helped, if there's anything just let me know! :)

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