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Alex787 [66]
2 years ago
10

Quick algebra 1 assignment for 50 points!

Mathematics
2 answers:
Sati [7]2 years ago
8 0

The examples and solutions to the functions are illustrated below based on the information given.

<h3>How to illustrate the functions?</h3>

1st example: The cost of a bag of rice is $100 and subsequent bags cost $95. Illustrate. the function to calculate the cost for p bags of rice.

The function will be:

C = 100 + (95 × p)

C = 100 + 95p

<u>2nd example:</u><u> </u>The cost of a pen is $5. Find the cost of s pens.

The function will be:

C = 5 × p

C = 5p

<u>3rd example</u>: Calculate the total amount for m tickets if each ticket is $20.

The function will be;

C = 20 × m

C = 20m

<u>4th example:</u> Bon bought g mangoes at $2 each and d oranges at $3.40 each. Calculate the total cost.

C = (2 × g) + (3.40 × d)

C = 2g + 3.4d

<u>5</u><u>t</u><u>h</u><u> </u><u>example</u><u>:</u><u> </u>The average age of k number of boys is 7. Find their total age.

The function will be:

a = (7 × k)

a = 7k

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

ss7ja [257]2 years ago
4 0

Question 1: Akira sells lemonade at 50 cents a glass. Let m be the amount of money they make in total for g glasses. Akira only has enough lemonade for 20 glasses.

A) Write a function m(g) to represent the total money (in dollars) they make from lemonade sales.

B) What is the domain of the function? Why?

Answer:

A) m(g) = 0.5g

This is since she makes 0.5 dollars per glass

B) The domain is 0 \leq g \leq 20 where g is an integer. This is since it's impossible to make less than 0 glasses and they cannot make more than 20.

Question 2: Danyon sells CD's at $20 per CD. He has only 15 CD's left.

A) Write a function m(c) to represent the total money he makes from selling c CD's.

B) What is the domain of the function? Why?

Answer:

A) m(c) = 20c, as he makes 20 dollars per CD.

B) The domain is 0 \leq c \leq 15 where c is an integer, as he can't make less than 0 CD's, and he has only 15 left.

Question 3: A factory is capable of making 60 units per hour. The factory can only run for 24 hours before cool down, and 150 units have already been made.

A) Write a function u(h) to represent the number of units after h hours.

B) What is the domain of the function? Why?

Answer:

A) u(h) = 60h + 150 as it makes 60 units per hour and 150 are already made.

B) The domain is 0 \leq h \leq 24 as the factory can't run for negative hours and has to cool down after 24 hours.

Question 4: Alazne sells sunglasses at $7 per pair. She has only 30 left before she needs to re-stock.

A) Write a function m(s) which calculates the amount of money she makes after selling s sunglasses.

B) What is the domain of the function? Why?

Answer:

A) m(s) = 7s, as she gets $7 per pair of sunglasses

B) 0 \leq s \leq 30 where s is an integer, one cannot have a fraction of a pair and she only has 30. She also cannot sell negative sunglasses.

Question 5: Lincoln works at a burger joint in the summer. He makes $3 from every burger he makes. He already has $22 saved. He cannot make more than 10 burgers a day.

A) Write a function m(b) which calculates how much money he gets after making b burgers.

B) What is an appropriate domain for this function?

Answer:

A) m(b) = 3b + 22, as he already has 22 dollars and makes 3 more for every burger.

B) 0\leq b\leq10, where b is an integer. This is since he cannot make a fraction of a burger, negative burgers, or more than 10 burgers.

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