Question

how do i do this i will give a medal

The population of a town has been growing, following the equation P = 400 t + 5500, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R = 2 t + 25.

Complete an equation for the number of restaurants per capita (per person)

Restaurants per capita:______

Answer 1

R / P

Answer 2

This was part 2 but i only need to answer one of the question
How many restaurants per capita does this model predict for the year 2017?

Answer 3

anyone have any idea

Answer 4

39 Restaurants per 8,300 people as of 2017
Found just by trial and error using spreadsheet.
Guess you'll like a formula though huh?

Answer 5

only if u want to post it but thanks

Answer 6

I'll have to create it - might take a while.

Answer 7

it is still saying that answer is wrong

Answer 8

population = 400*(Year -2010) + 5500

restaurants = 2 * (Year -2010) + 25

My answer is wrong?
If they want restaurants per capita then I guess to be technical the answer is
1 restaurant per 212.8205128205 people
(that's 8,300 divided by 39)

Answer 9

Restaurants per capita = [400*(Year -2010) + 5500] / [2 * (Year -2010) + 25]

Answer 10

So for 2017:
Restaurants per capita = [400*(7) + 5500] / [2 * (7) + 25]
Restaurants per capita = [2800 + 5500] / [14 + 25]
Restaurants per capita = [2800 + 5500] / [14 + 25]
Restaurants per capita = (8,300 / 39) = 212.8205128205

Answer 11

Matthew, was I right?