Word Problems

[Determined]

I am stuck and need help for these EoC review questions.

1. The price per person of renting a bus varies inversely with the number of people renting the bus. It costs $18 per person if 43 people rent the bus. About how much will it cost per person if 57 people rent the bus?

A. $36.17
B. $13.58
C. $16.67
D. $15.86

2. A forest has a deer population of 290 deer that increases at an annual rate of 9%. Write an exponential function to model this situation, then use the function to estimate the deer population in 5 years. (Round your answer to the nearest whole number.)

A. 344
B. 375
C. 446
D. 487

~I need the steps in solving these word problems and also, explain to me what 'inversely' and 'exponential function' mean exactly

 

[HallsofIvy]

I am stuck and need help for these EoC review questions.

1. The price per person of renting a bus varies inversely with the number of people renting the bus. It costs $18 per person if 43 people rent the bus. About how much will it cost per person if 57 people rent the bus?

"Varies inversely" means the if "C" is the cost per person and "p" is the number of people, then C= k/p for some constant k. When p= 43, C= 18. What is k?

2. A forest has a deer population of 290 deer that increases at an annual rate of 9%. Write an exponential function to model this situation, then use the function to estimate the deer population in 5 years. (Round your answer to the nearest whole number.)

An exponential function is of the form D= AB^y where y is the number of years D is the number of deer. When y= 0, the D= AB^0= A and the initial population is 290. Since the population increases 9%, the next year, when y= 1, D= 290+ .09(290)= 316 dear.. That is D= AB^1= AB= 315. That gives you two equations to solve for A and B.