The cost of renting a private room at a restaurant is $400. there is also a charge of $25 for each person who attends. the total cost for christian’s party at the restaurant was $775. write an algebraic equation to represent the situation, than solve how many people people attended christian’s party.

room=400

Ppl=25p

Total cost=775

775=25p+400 ⟨—— equation

775-400=25p

375/25=p

15=p

15 people attended his party

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have