Joyceanne collects refrigerator magnets from new places she visits. Since she turned 13, Joyceanne has recorded the total number of magnets she has accumulated after each time she visits a new place. Her data can be represented by a linear model, m=2p+7

Question

, where
p is the number of new places she has visited since she turned 13, and m
is her total number of accumulated magnets.

Based on the linear model, how many magnets did Joyceanne initially have when she turned 13?

Answer 1

To find out how many magnets Joyceanne initially had when she turned 13, we need to determine the value of \( m \) (the total number of magnets) when \( p \) (the number of new places she has visited) is 0.

We can use the linear model given:

\[ m = 2p + 7 \]

Now, let's substitute \( p = 0 \) into the equation:

\[ m = 2(0) + 7 \] \[ m = 0 + 7 \] \[ m = 7 \]

Therefore, Joyceanne initially had 7 magnets when she turned 13.