Original Cost New Cost
15 25
22 32
Original Cost New Cost
15 ?
22 ?
15 25
22 32
(1,?), (2,?)
To find the y-coordinates for the given x-values (1 and 2), substitute them into the equation:
For x = 1:
y = 1 + 25
y = 26
So, the y-coordinate for the point (1, ?) is 26.
For x = 2:
y = 2 + 25
y = 27
So, the y-coordinate for the point (2, ?) is 27.
x+?
Δy = 21 - 16
Δy = 5
Now, we can form the expression based on the change in the y-coordinate and the change in the x-coordinate:
Expression: x + 5
So, the expression represented by the graph is x + 5.
To find the expression represented by the graph of an additive pattern containing the points (3, 16) and (8, 21), we can calculate the difference in the y-coordinates (which tells us how much the y-value changes when the x-value increases by 5).
From (3, 16) to (8, 21), the y-coordinate changes by 21 - 16 = 5 when the x-coordinate changes by 8 - 3 = 5.
Therefore, the expression that represents this additive pattern is x + 5.
So, the correct expression represented by the graph is x + 5.
We know that in an additive relationship, the change in y is constant for a given change in x.
From (3, 16) to (8, 21), the change in x is +5 (+8 - +3) and the change in y is +5 (+21 - +16).
Since the change in y is the same as the change in x, the expression represented by the graph is:
x + 5
Therefore, the correct expression represented by the graph is x + 5. Thank you for your patience and for bringing this to my attention.