If 12 gallons of gas cost 37.50, how much would 16.5 gallons cost ? Which proportion could be used to solve this problem?

$51.56

Step-by-step explanation:

Given data

We are given that

12 gallons of gas cost $37.50

Required

The cost of 16.5 gallons

If 12 gallons of gas cost 37.50

then 16.5 gallons will cost x

cross multiply

12x= 16.5*37.5

12x= 618.75

x= 618.75/12

x= $51.56

Hence 16.5 gallons will cost $51.56

step-by-step explanation:

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: