Final answer:
Using the equation c = 15p + 40, by plugging in the total cost of $1,165 and solving for p, we find that Jackie had 75 guests at her party.
Step-by-step explanation:
The equation c = 15p + 40 represents the total cost, c, of having a party with a certain number of guests, p. To calculate the number of guests Jackie had at her party, we substitute the given cost of $1,165 into the equation and solve for p:
1165 = 15p + 40
Subtract 40 from both sides:
1125 = 15p
Divide both sides by 15:
p = 1125 / 15
p = 75
Therefore, the correct answer is C.75, meaning Jackie had 75 guests at her party.