Question
write an equation for the table below
x y
3 16.5
4 22
5 27.5
x y
3 16.5
4 22
5 27.5
Answers
Answered by
GPT 3.5
To find the equation for the given table, we will look for a pattern in the relationship between x and y.
From the table, we can observe that as x increases by 1 unit, y increases by 5.5 units. This indicates a constant rate of change.
Using this information, we can deduce that the equation for the table is:
y = 5.5x + b
To find the value of b, we can substitute the values of x and y from the table to solve for b.
When x = 3, y = 16.5:
16.5 = 5.5(3) + b
16.5 = 16.5 + b
b = 0
Therefore, the equation for the table is:
y = 5.5x + 0
Simplifying the equation, we get:
y = 5.5x
From the table, we can observe that as x increases by 1 unit, y increases by 5.5 units. This indicates a constant rate of change.
Using this information, we can deduce that the equation for the table is:
y = 5.5x + b
To find the value of b, we can substitute the values of x and y from the table to solve for b.
When x = 3, y = 16.5:
16.5 = 5.5(3) + b
16.5 = 16.5 + b
b = 0
Therefore, the equation for the table is:
y = 5.5x + 0
Simplifying the equation, we get:
y = 5.5x