The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn that took him 1.5 hours to mow. Which equation models the amount in dollars, d, Troy charges when it takes him h hours to mow a lawn?

A) d = 20h
B) h = 20d
C) d = 45h
D) h = 45d

First, let's find the amount of money Troy charges per hour.

$30 / 1.5hrs = $20 / hr

d = $20h

A is the correct answer choice.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: