Tharun subscribes to a monthly DVD rental service. The service costs $10 per month and the first three
DVD rentals are free, while every DVD rental after
the first three of the month costs $2 each. Which of
the following expressions models the total amount that
Tharun pays, in dollars, in a month when he rents d
DVDs where d> 3 ?
A. 10 + 2d
B. 10 + 3d
C. 10 + 2(d - 3)
D. 10+ 3(d -2)

Option C.

Step-by-step explanation:

It is given that,

Service cost = $10 per month

Free rental DVD = first 3

Rental after first 3 DVD = $2 per month

We need to find the expressions models for the total amount that Tharun pays, in dollars, in a month when he rents d, DVDs where d>3.

Fixed cost = $10

Rental apply after first three DVD. So,

Variable cost = $2(d-3)  

Total cost = Fixed cost + Variable cost  

Therefore, the required expression is C.

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 .