The table shows the heights in inches of trees after they have been planted. Determine the equation which relates x and y. Height in pot, x Height Without Pot, y 30 18 36 24 42 30 48 36
To determine the equation relating x (height in pot) and y (height without pot), we can notice that there is a constant difference between the two variables. In other words, the subtraction of y and x always gives the same value.
We can calculate this constant difference:
y - x = 18 - 30 = -12 (for the first pair)
y - x = 24 - 36 = -12 (for the second pair)
y - x = 30 - 42 = -12 (for the third pair)
y - x = 36 - 48 = -12 (for the fourth pair)
We observe that for each pair, y - x = -12. Therefore, the equation relating x and y is:
y = x - 12
The table shows the heights in inches of trees after they have been planted. What is the height of a tree that is 64 in. tall in its pot? Height in pot, x Height Without Pot, y 30 18 36 24 42 30 48 36 (1 point) Responses 42 in. 42 in. 52 in. 52 in. 60 in. 60 in. 76 in.
To find the height of a tree that is 64 inches tall in its pot, we can use the equation y = x - 12.
Using the equation, we substitute x = 64:
y = 64 - 12
y = 52
Therefore, the height of the tree that is 64 inches tall in its pot is 52 inches.
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 can look for a pattern in the amounts earned for different numbers of dogs.
Based on the table, we can see that the amount earned (y) is equal to the number of dogs (x) multiplied by 18.
Using this pattern, we can calculate the amount earned for 8 dogs:
y = x * 18
y = 8 * 18
y = 144
Therefore, $144 can be earned by washing 8 dogs.
Determine which ordered pair is a solution of . (1 point) Responses Image with alt text: the ordered pair (0, 8) Image with alt text: the ordered pair (negative 1, 8) Image with alt text: the ordered pair (1.5, 10)
To determine which ordered pair is a solution, we need to have the equation or system of equations given. Without the equation(s), we cannot determine which ordered pair is a solution.
Determine which ordered pair is a solution of y=8x. (1 point) Responses Image with alt text: the ordered pair (0, 8) Image with alt text: the ordered pair (negative 1, 8) Image with alt text: the ordered pair (1.5, 10), (2,16)
To determine which ordered pair is a solution of the equation y = 8x, we need to substitute the x-coordinate of each ordered pair into the equation and see if it satisfies the equation.
a) Ordered pair (0, 8):
When x = 0, y = 8(0) = 0
Since y = 0, the ordered pair (0, 8) is not a solution of the equation y = 8x.
b) Ordered pair (-1, 8):
When x = -1, y = 8(-1) = -8
Since y = -8, the ordered pair (-1, 8) is not a solution of the equation y = 8x.
c) Ordered pair (1.5, 10):
When x = 1.5, y = 8(1.5) = 12
Since y = 12, the ordered pair (1.5, 10) is not a solution of the equation y = 8x.
d) Ordered pair (2, 16):
When x = 2, y = 8(2) = 16
Since y = 16, the ordered pair (2, 16) is a solution of the equation y = 8x.
Therefore, the ordered pair (2, 16) is a solution of the equation y = 8x.