Question

I really need some help on this math problem?can you help me

Answer 1

7 units

Explanation:

Forming an equation:

There is a one-time signup fee. Let that be represented by "a".

Then, there's also a weekly fee. Let that be represented by "b", i.e., the fee for one week is "b" units.

==> If she goes to the gym for x weeks, then her total weekly fee will be "b" times "x" units.

If we represent her total cost after membership by "y", our equation becomes:

`\boxed{ \sf{y = a + bx}}`

We're provided with three values of x and y.

• When x = 6, y = 133
• When x = 12, y = 175
• When x = 24, y = 259

The solution to the equation:

Substitute the respective values of x and y into the equation.

#1

133 = a + 6b

==> a = 133 - 6b

#2

175 = a + 12b

Since we only need the values of two variables we'll use only two equations.

Substituting from #1 for a:

175 = (133 - 6b) + 12b

==> 175 = 133 + 6b

==> 175 - 133 = 6b

==> 42 = 6b

==> b = 7

And b is the amount she pays each week.

So, the answer is 7 units.