Question

Heidi is preparing for the national gymnastics competition. The table below shows the number of hours Heidi spent preparing for a gymnatics competition over a period of five months:

Month: 1 2 3 4 5
Hours: 2 3.5 5 6.5 8

Did Heidi increase the number of hours of practice linearly or exponentially?

Answer 1

Linearly, because the table shows an equal increase in hours for an equal increase in months

Exponentially, because the table shows an equal increase in hours for an equal increase in months

Linearly, because the table shows that hours increase by an equal factor for an equal increase in months

Exponentially, because the table shows that hours increase by an equal factor for an equal increase in months

Answer 2

@kohai

Answer 3

First, I'll explain the difference between linear and exponential. Linear means that it's increasing by the same amount each time. Exponential means that it's gradually increasing (or decreasing)

Answer 4

In this case it gradually increases by 1.5 each time, so it's going to be linear

Answer 5

For the hours that is, the months increase by 1

Answer 6

okay im getting it so far

Answer 7

So I would think that A makes the most amount of sense here, because there is an equal increase in the hours as there is an equal increase in the months. The other option, C, basically says that they both increase by either 1 or 1.5, it doesn't really make any sense

Answer 8

Think of the months as x and the hours as y. You should put it into a graphing calculator and see how it looks

Answer 9

okay thanks so much im going to post my next question when im done lol

Answer 10

You're welcome