Mathematics, 27.06.2019 15:00 cailynrachael

Irent a gym for $150.00 for 30 students. another time i rent the gym for $270.00 for 70 students. i need to find a fixed rate.(y= mx+b)

Answers: 1

Show answers

Answers

Answer from: ggdvj9gggsc

The fixed rate of gym fee of $60 plus a rate of $3 per student.

The fixed-rate is;

$\rm y=3x+60$

Given

I rent a gym for $150.00 for 30 students.

Another time I rent the gym for $270.00 for 70 students.

Linear function;

A linear function is a function that forms a straight line in a graph.

Let x be the number of students and y be the total cost of renting the gym.

To find the fixed-rate let us write the equation of line representing the total cost of renting a gym for x students.

The equation representing a fixed rate is;

$\rm y = mx+b$

I rent a gym for $150.00 for 30 students.

$\rm 150 = 30x + b$

Another time I rent the gym for $270.00 for 70 students.

$\rm 270 = 70x + b$

Subtracting both the equations;

$\rm 150-270=30x+b-70x-b\\\\-120=-40x\\\\120=4x\\\\x=\dfrac{120}{4}\\\\x=3$

Substitute the value of x in equation 1

$\rm 150 = 30x + b\\\\150=30(3)+b\\\\150=90+b\\\\b=150-90\\\\b=60$

Therefore,

The fixed-rate is;

$\rm y=mx+b\\\\y=3x+60$

Hence, the fixed rate of gym fee of $60 plus a rate of $3 per student.'

To know more about linear function click the link given below.

link

Answer from: emilyblaxton

y = 3x + 60

Step-by-step explanation:

Set up two equations and solve the system:

270 = 70x + b

- (150 = 30x + b)

120 = 40x

3 = x

Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30(3) + b

150 = 90 + b

60 = b

Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student

Answer from: Quest

well what you have to do is divide 84 by 6 so theanswer

step-by-step explanation:

84 divided by 6 = 14

and that lightbulb changing party must be freaking lit!

Answer from: Quest

see attached

step-by-step explanation:

given the function as;

$f(x)=2x^3-7x^2+2x+3$

write the equation replacing f(x) with y

$y=2x^3-7x^2+2x+3$

form and fill a table containing values of y with corresponding values of x

you can take a range for values of x as -3≤x≤3

solving for x=-3

$f(-3)=2*-3^3-7*-3^2+2*-3+3=2*-27-63+-6+3=-54-63-6+3y=-120$

for x=-2

$f(-2)=2*-2^3-7*-2^2+2*-2+3=2*-8-28+-4+3=-16-28-4+3=-45$

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values of x and obtain the following graph

Another question on Mathematics

Mathematics, 21.06.2019 19:30

Aproduction manager test 10 toothbrushes and finds that their mean lifetime is 450 hours. she then design sales package of this type of toothbrush. it states that the customers can expect the toothbrush to last approximately 460 hours. this is an example of what phase of inferential statistics

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Need match the functions with correct transformation. f(x) = -3x f(x) = |x-1|+3 f(x) = √(x+3) 1/2x² f(x) = (x+1)²-3 4|x| 1. compress by a factor of 1/2 2. stretch by a factor of 4 3. shift to the left 3 4. shift to the left 1 5. shift up 3 6. reflection

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Iknow its nothing to do with education, but what type of thing should i wrote here? ? : ) its for mcdonald's btw.

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

Simplify using positive exponents only.

Answers: 2

Answer

You know the right answer?

Irent a gym for $150.00 for 30 students. another time i rent the gym for $270.00 for 70 students. i...