Final answer:
Stylar can raise the full amount needed to adopt a whale through 198 walks, earning $3 per walk, as shown by the expression 594 - 3w, where w represents the number of walks.
Step-by-step explanation:
Creating a Table and Finding a Pattern Rule
To adopt a whale through the BC wild killer whale adoption program, Stylar needs to raise $594 by walking his neighbour's dog, earning $3 for each walk. We will create a table to show the amount of money left to raise after each walk and establish a pattern rule.
Here's the table after 1, 2, 3, 4, and 5 walks:
Number of Walks Amount Earned ($) Amount Left to Raise ($)
1 3 591
2 6 588
3 9 585
4 12 582
5 15 579
To find the pattern rule, observe that the amount raised increases by $3 with each additional walk, which means the amount left to raise decreases by $3 accordingly. Hence, the pattern rule that relates the number of walks to the amount left to raise can be expressed as: Amount Left to Raise = Total Amount to Raise - ($3 × Number of Walks).
An expression to represent this pattern would be 594 - 3w, where w is the number of walks.
Therefore, after two walks, Stylar has 594 - 3(2) = 594 - 6 = $588 left to raise.
To find out after how many walks Stylar can raise the full amount, we can set the expression equal to zero and solve for w:
594 - 3w = 0
w = 198 walks
This means Stylar will need to complete 198 walks to raise enough money to adopt a whale.