Suppose the population of a town is 9,800 and is growing 2% each year. a. write an equation to model the population growth. b. predict the population after 7 years. a. y = 9,800 • 1.02x ; about 11,257 people b. y = 9,800 • 2x ; about 11,257 people c. y = 9,800 • 2x ; about 1,254,400 people d. y = 2 • 9,800x ; about 137,200 people

The correct option is A.

Step-by-step explanation:

The general exponential growth model is defined as

Where, a is initial value, r is growth rate and x is time.

The initial population of town is 9800 and growth rate is 2%. The population growth model is defined as

Put x=7 to find the estimated population after 7 years.

Therefore the correct option is A.

a. about 1/2 gallon per day

b. about 4 gallons per week

c. 36 days to drink 20 gallons

Step-by-step explanation:

Given that Carter drank 15.75 gallons of water in 4 weeks, that is 28 days (4 x 7).  In order to find the number of gallons he drank in one day, divide the total number of gallons by the number of days:  15.75/28 = .5625 gallons.  If you are estimating, that is about a half gallon each day.  

Since the total number of weeks was 4, in order to find the number of gallons in one week, you divide the total gallons by 4 weeks:  15.75/4 = 3.9375.  If you are estimating, that is about four gallons each week.

In order for Carter to drink 20 gallons, you can take the amount of gallons and divide by the number he drinks daily:  20/0.5625 = 36 days.