Question

Helpp do u know this it would be really helpful if u helped

Answer 1

Answer: y = 8*x + 5

Step-by-step explanation:

Here we have the points (1, 13), (2, 21), (3, 29), (4, 37)

You can see that the x-component always increases by one unit, while the y-component always increases by 8 units.

Then we can conclude that this is a linear relationship.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Here we can use the fact that our line passes through the points (1, 13) and (2, 21)

Then the slope of our line is:

a = (21 - 13)/(2 - 1) = 8

Then:

y = 8*x + b

To find the value of b, we can use again the fact that our line passes through the point (1, 13)

This means that when x = 1, the value of y is 13, if we replace that in the equation we get:

13 = 8*1 + b

13 = 8 + b

13 - 8 = b

5 = b

Then:

y = 8*x + 5

This means the amount charged for x hours, is:

y = 8*x + 5