Question

Can someone answer the blank ones please!!!

Answer 1

The equation is
`155p+225f=5050`.

If p = 17, f = 13. This value is a reasonable value in this context.

If f = 28, p = -10. This value is not reasonable in this context.

Explanation:

Step 1:

`155p+225f=5050`,

where p is the part-time memberships and f is the number of full-time memberships.

Kiri needs to make $5,050 a month from this rented space.

Each part-time membership costs $155 and each full-time membership costs $225.

Step 2:

We need to calculate the value of f when p = 17,

Substituting the value, p = 17 in the equation, we get;

`125(17)+225f=5050`,
`225f=5050-125(17),`

`225f=2925, f = (2925)/(225), f =13.`

The value of f = 13 and p = 17. This is a reasonable value in this context.

Step 3:

We need to calculate the value of p when f = 28,

Substituting the value, f = 28 in the equation, we get;

`125p+225(28)=5050`,
`125p=5050-225(28)`

`125p=-1250, p = (-1250)/(125), p=-10.`

The value of f = 28 and p = -10. This is not a reasonable value in this context. as the values of f and p cannot be negative for this given equation.