MATHEMATICS MIDDLE SCHOOL

Two video rental clubs offer two different rental fee plans.Club A charges $12 for membership and $2 for each rented video.Club B charges $4 for membership fee and charges $4 for each rented video.Which video rental club is the better deal and why?

Answers

Answer 1

Answer:

Answer: Club A

EXPLANATION

Given,

Club A charges $12 for membership and $2 for each rented video.

The deal in Club A can be represented by the function, f(x) = 12 + 2x

Club B charges $4 for membership fee and charges $4 for each rented video.

The deal in Club B can be represented by the function, f(x) = 4 + 4x

To determine which video rental club is the better deal

First, we find the number of videos where the amount spent will be the same

That is, when 4 + 4x = 12 + 2x

Subtract 4 from both sides of the equation

4 + 4x – 4 = 12 + 2x – 4

4x = 8 + 2x

Subtract 2x from both sides of the equation

4x – 2x = 8 + 2x – 2x

2x = 8

Divide both sides by 2

2x/2 = 8/2

x = 4

Since the deals for club B and club B will be of equal expense by the time a total of 4 videos have been rented, the better deal is the one that is cheaper when more than 4 videos have been rented.

Take a random value of x that is greater than 4, say 6

For the deal in Club A, f(x) = 12 + 2x

= 12 + 2(6)

= 12 + 12

= $24

For the deal in Club A, f(x) = 4 + 4x

= 4 + 4(6)

= 4 + 24

= $28

Since the deal in Club A is cheaper on the long run (i.e for 5 videos and above), it is a better deal than that of Club B

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A fast food restaurant offers eight different sandwiches, two kinds of French fries, three types of salad, three different desserts, and four kinds of soft drinks. If Doug doesn't want a salad, how many meals can he order if he chooses one item from each category?

Answers

Answer: 8

Step-by-step explanation:

Because there are 8 burgers

What is 6/12 in simplest form

Answers

6/12 in simplest form = ?

Divide numerator and denominator by GCF.
GCF = 6

6/12
6 ÷ 6 = 1
12 ÷ 6 = 2
1/2

6/12 = 1/2

6/12 in simplest form is 1/2

What is 28 over 50 as a decimal

Answers

❅☃ 0.56
$(28)/(50)$ = $(14)/(25)$
❅☃ Which in decimal formality is 0.56
You can solve this by dividing the numerator by the denominator.

Maritzas car has 16 gallons of gas in the tank.She uses 3/4 of the gas.How many agllons of gas does Maritza use?

Answers

Answer:

If Maritzas used 3/4 of here gas then she used 12 gallons of gas

Same answer: If she used 3/4 of 16 then that would be 12 gallons of gas used

forty children from an after-school club went to matinee. this is 25% of the children in the club. how many children are in the club?

Answers

The total number of children in the club is given by the equation A = 160 students

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of students be represented as A

Now , the equation will be

The number of students who went to the matinee = 40 students

The percentage of students who went to the matinee = 25 %

So ,

percentage of students who went to the matinee x total number of students = number of students who went to the matinee

Substituting the values in the equation , we get

( 25 % ) x A = 40

On simplifying the equation , we get

( 25/100 ) x A = 40

A / 4 = 40