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luda_lava [24]
2 years ago
14

Some kids are selling lemonade for $1.50 per cup at a high

Mathematics
1 answer:
BaLLatris [955]2 years ago
6 0

A function that would represent profit based on the number of cups of lemonade is Profit = 1.5n - 14

<u>Solution:</u>

Given, Some kids are selling lemonade for $1.50 per cup at a high school baseball game.  

They spent $14 on all of the items needed for the lemonade stand (cups, lemonade, table oth, sign, etc)

We have to create a function that would represent profit based on the number of cups of lemonade

Now, let the number of cups sold be "n"

Then , we know that,<em> profit = selling price – cost price  </em>

Profit = number of cups sold x price per cup – cost price

Profit = n x $ 1.5 – $ 14  

Profit = 1.5n – 14

Hence, the function is Profit = 1.5n - 14

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Answer:

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder.

Example:

2 is a factor of 8.

8 is a multiple of 2.

Step-by-step explanation:

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The best buy is from dealership B because dealership B has a lesser base price

<h3>The add-on options</h3>

For the purpose of this exercise, the add-on options to select are:

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<h3>Dealership A</h3>

The total amount of the add-on options is:

Total = $500 + $1500

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<u>The inequality</u>

This is represented using:

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We have:

(1 + 6.75%) * x + 751.56 + 2000 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 17248.44

Divide both sides by (1 + 6.75%)

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The solution means that the base price of the car cannot exceed $16157.78 for dealership A

<u>The graph of the possible base price</u>

See attachment

<h3>Dealership B</h3>

The total amount of the add-on options is:

Total = $750 + $1000

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This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

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We have:

(1 + 6.75%) * x + 1524.72 + 1750 ≤ 20000

Evaluate the like terms

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Divide both sides by (1 + 6.75%)

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The solution means that the base price of the car cannot exceed $15667.71 for dealership B

<u>The graph of the possible base price</u>

See attachment

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Definition of eo-primes or relatively primes: Two numbers are said to be co-prime or relatively prime If their HCF IS 1 Hence to prove 847 and 2160 as co-prime numbers we will find their HCF and which should be 1

New steps to find HCF will be as under

2160 = 847 x 2+ 466
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41 =3 x 13+ 2
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Therefore, the HCF=1 Hence, the numbers are co-primes (relatively prime).
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Step-by-step explanation:

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