Describe the pattern in the table using words, an equation, and a graph. Extend the pattern for x=5, 6 and 7.

Step-by-step explanation:

x           y           Difference

1          15                      -

2         25              25 - 15 = 10

3         35              35 - 25 = 10

4         45              45 - 35 = 10

There is a common difference of 10 in each successive term of y.

Therefore, table represents a linear function.

Let the equation of the linear function is,

y = mx + b

Here 'm' = slope of the line

b = y-intercept

Since, two points (1, 15) and (2, 25) lie on the graph of the function,

Slope of the line =

                        m =

                        m = 10

Equation of the line will be,

y = 10x + b

For the value of 'b' (y-intercept),

Since, (1, 15) lies on the graph of the linear function,

15 = 10(1) + b

b = 15 - 10

b = 5

Equation of the line on the graph will be,

y = 10x + 5

Now we can determine the output value of the function with the input values, x = 5, 6 and 7

= 10(5) + 5 = 55

= 10(6) + 5 = 65

= 10(7) + 5 = 75

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: