An plumber charges a flat fee of $50 plus an additional $20 per hour. a) Write and equation in slope-intercept form to represent the total cost the plumber will charge
b) How much will it cost for the plumber to work for 4 hours
c) how many hours must the plumber work to obtain $180?

a) cost = 50 + 20x, where x is the number of hours worked for.

plot cost on the y-axis and hours on the x-axis.

b) cost = 50 + 20 x 4 = $130

c) 180 = 50 + 20x

   130 = 20x

   6.5 = x

   additional charges increment every hour, so the plumber must work for 7 hours before they obtain $180.

Step-by-step explanation:

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 .

the answer is 62.8 cubic units