The population of a town has been growing, following the equation Pyears after 2010. The number of restaurants in the town has been growing according to theequation R = 4t + 30.800t + 6000, where t isComplete an equation for the number of restaurants per capita (per person)Restaurants per capita:How many restaurants per capita does this model predict for the year 2017?

We have, Population growing with rate, P(t)=800t+6000 Restaurants growing with rate, R(t)=4t+30…

The population of a town has been growing, following the equation P = 800t + 6000, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R = 4t + 30. Complete an equation for the number of restaurants per capita (per person) Restaurants per capita: How many restaurants per capita does this model predict for the year 2017?

The population of a town has been growing, following the equation P = 800t + 6000, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R = 4t + 30. Complete an equation for the number of restaurants per capita (per person) Restaurants per capita: How many restaurants per capita does this model predict for the year 2017?

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter10: Exponential And Logarithmic Functions

Section10.CR: Review Problem Set

Problem 60CR

See similar textbooks

Similar questions

To set up a model linear equation to fit real-world applications, what should always be the first step?
The number of calories, c, burned varies directly with the amount of time, t, spent exercising. Arnold burned 312 calories in 65 minutes exercising. (a) Write the equation that relates c and t. (b) How many calories would he burn if he exercises for 90 minutes?
The Federal Helium Reserve held about 16 billioncubic feet of helium in 2010 and is being depleted byabout 2.1 billion cubic feet each year. a. Give a linear equation for the remaining federalhelium reserves, R, in terms of t, the number of years since 2010. b. In 2015, what will the helium reserves be? c. If the rate of depletion doesn’t change, in what year will the Federal Helium Reserve be depleted?
Solve the equation 5x - 2y = 10 for x : (a) when y = 10 (b) in general (c) Which solution is easier for you? Explain why.
A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is C=1480+6x, and the total revenue R (in dollars) is R=15x. Find the profit obtained by selling 225 T-shirts per day.
A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)
Solve the equation 5x2y=10 for x (a) when y=10 (b) in general (c) Which solution is easier for you, (a) or (b)? Why?
Dennis went cross-country skiing for 6 hours on Saturday. He skied 20 mile uphill and then 20 miles back downhill, returning to his starting point. His uphill speed was 5 mph slower than his downhill speed. What was Dennis’ speed going uphill and his speed going downhill?
Victoria jogs 12 miles to the park along a flat trail and then returns by jogging on an 20 mile hilly trail. She jogs 1 mile per hour slower on the hilly trail than on the flat trail, and her return trip takes her two hours longer. Find her rate of jogging on the flat trail.