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.

Step-by-step 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;

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

$225f=2925, f = \frac{2925}{225}, f =13.$

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;

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

$125p=-1250, p = \frac{-1250}{125}, p=-10.$

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.