The equation is [tex]155p+225f=5050[/tex].
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:
[tex]155p+225f=5050[/tex],
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;
[tex]125(17)+225f=5050[/tex], [tex]225f=5050-125(17),[/tex]
[tex]225f=2925, f = \frac{2925}{225}, f =13.[/tex]
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;
[tex]125p+225(28)=5050[/tex], [tex]125p=5050-225(28)[/tex]
[tex]125p=-1250, p = \frac{-1250}{125}, p=-10.[/tex]
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.
