It costs $100 to join a fitness center plus a monthly fee. you spent $700 last year at the fitness center. how much was the monthly fee? write and solve an equation to determine the monthly fee.

Monthly fee of fitness center is $50.

Step-by-step explanation:

Joining fee of a fitness center is $100 with a monthly fee.

I have spent total of $700 last year at fitness center and we have to calculate the monthly fee.

Let the monthly fee of the fitness center is $x.

Therefore yearly fees of the center will be = $12x

In addition to this fee i have to give the joining fee of $100. Therefore total expenditure will be = 12x + 100

Therefore the equation which represents the annual expense of the fitness center is

12x + 100 = 700

From this equation we can calculate the monthly fee.

12x = 700 - 100

12x = 600

x = 600/12 = 50

Therefore monthly fees of the fitness center is $50.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.