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
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
To find out how much can be earned by washing 8 dogs, we need to look at the pattern in the table.
It can be observed that for each dog washed, the amount earned doubles.
So, if washing 1 dog earns $18, then washing 2 dogs earns $36, and so on.
To determine the amount earned by washing 8 dogs, we can double the amount earned from washing 4 dogs, which is $72.
Doubling $72 gives us $144.
Therefore, the correct answer is $144.