The equation y = 35.5 x can be used to determine the total cost of Lauren’s Internet service. The variable y represents the total cost as it depends on the number of months that she has the service, x. Lauren used the equation to fill in the table below.

Cost of Internet
Number of Months
Total Cost (in $)
3
106.50
6
213.00
9

12
426.00

What value is missing from the table?

$319.50

see the procedure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

Let

y ---> represents the total cost

x ---> represents the number of months

we have

so

The relationship between  x, and y, represent a proportional variation

Complete the table

For x=9 months

substitute the value of x in the linear equation and solve for y

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

addition

step-by-step explanation: