Question

Use the table below, which gives the cost (C) of n bags of fertilizer, to decide which of the following statements are true.

Answer 1

It looks like A. the n-values are evenly spaced.
B. looks like there is a constant difference
Im not exactly sure about C. and D. here.

Answer 2

Constant means unchanging.

From \(\large\rm 18.75\) to \(\large\rm 25\) we saw a change of \(\large\rm 6.25\) but
from \(\large\rm 25\) to \(\large\rm 29.50\) we saw a change of \(\large\rm 4.50\).

Uh oh, the space between the C(n)'s isn't staying constant, right?

Answer 3

yeah not constant

Answer 4

So that makes B `not` true.
Which automatically makes C `not` true because it's talking about a specific constant value.

Answer 5

For the function to be linear,
`C(n) needs to have constant differences.`

So what can you say about D?

Answer 6

So if there not staying constant then its not true?

Answer 7

Correct :) So D must be `not` true as well.

Answer 8

@zepdrix A. looks like it true?

Answer 9

Only A?
Yah good job!

Answer 10

@zepdrix Yeah only A., now for something to be linear it has to be constant? In order to be a straight line. For this problem I think it would be C. because the average rates of change are not constant?

Answer 11

@zepdrix