Question

Which situation is linear?

A: A sample of bacteria is doubling every day

B: the number of cars each hour on a road for a week

C: the cost of a movie ticket increases five percent each year

D: the population of a town in increasing by ten people each year

Answer 1

What is the answer

Answer 2

A is going to be a exponential regression. B is just random dots (data points).

Answer 3

Sure

Answer 4

So D would be the answer

Answer 5

C is also an exponential regression because it deals with percentages. and D is the correct answer because your equation will be y=10x with x=the year

Answer 6

Thank You

Answer 7

Yes.

See, A is exponential because it's "doubling"

If it started of with, say 2, when 2 * 2 = 4, * 2 = 8, * 2 = 16 and so on.

The data would be{2,4,8,16...}

Linear is a \(\ \sf constant\) rate of change therefore it's either being added or subtract the same amount.

B would be random points because it would vary.

C is also exponential.

D is increasing by 10 each year, so it's a constant +10 each time so that is linear. You could set it up as, y = 10x, if you had a starting value that would be the b, in y = mx + b, b is the y-intercept. (0,?)

Answer 8

You're welcome (: