Question

Natasha is planning a school celebration and wants to have live music and food for everyone who attends. She has found a band that will charge her $750 and a caterer who will provide snacks and drinks for $2.25 per person. If her goal is to keep the average cost per person between $2.75 and $3.25, how many people, p, must attend?
A)225 B)325 C)500 D)760

Answer 1

Multiply 2.25 by each answer and 750 and write down the total next multiply 3.25 by each answer lowest to highest once you get a product that is higher than you writen down answer play around with the numbers until you get the exact amount D 760 2.25 times 760 is 2460 by 3.25 its 2570 you save 10 dalloars and are able to pay for the food and band

Answer 2

Answer:

The number of people that need to attend the celebration will be :

$750< p$

That will be 760 (option D)

Step-by-step explanation:

Average cost per person = $\frac{750+2.25p}{p}$

$\frac{2.75}{1} =\frac{750+2.25p}{p}$

$=> 2.75p=750+2.25p$

$=> 2.75p-2.25p=750$

$=> 0.5p=750$

p = 1500

$\frac{3.25}{1} =\frac{750+2.25p}{p}$

$=> 3.25p=750+2.25p$

$=> 3.25p-2.25p=750$

$=> 1p=750$

p = 750

So, The number of people that need to attend the celebration will be :

$750< p$

That will be 760 (option D)