The table shows amounts earned for washing dogs. How much can be earned by washing 8 dogs?

Dogs, x Dollars, y
1 18
2 36
3 54
4 72
(1 point)
Responses

$144
$144

$324
$324

$64
$64

$126

1 answer

To determine how much can be earned by washing 8 dogs, we need to find the corresponding value of y when x = 8.

From the table, we can see that as the number of dogs increases, the amount earned also increases. This suggests a linear relationship between the number of dogs (x) and the amount earned (y).

To find the relationship, we can calculate the difference in y for consecutive values of x:

Difference in y = 36 - 18 = 18
Difference in y = 54 - 36 = 18
Difference in y = 72 - 54 = 18

We can observe that the difference in y remains constant at 18. This indicates that the relationship between x and y is linear, with a constant rate of change of 18.

To find the value of y when x = 8, we can use the rate of change:

Difference in x = 8 - 4 = 4

Change in y = 18 * difference in x = 18 * 4 = 72

So, the amount earned by washing 8 dogs is $72.

Therefore, the correct answer is:

$72