Mariah spent $9.50 on 9 pounds of limes and pears. limes cost $0.50 per pound and pears cost $1.50 per pound. let l be the number of pounds of limes and let p be the number of pounds of pears. which system of linear equations models the scenario?

Step-by-step explanation:

Let l be the number of pounds of limes.

Let p be the number of pounds of pears.

Mariah bought 9 pounds of lime and pears

So, equation becomes:

Now Cost of 1 pound of lime = $0.50

Cost of l pounds of lime = 0.50l

Cost of 1 pound of pear = $1.50

So, Cost of p pounds of pear = 1.50p

Now we are given that Mariah spent $9.50 on 9 pounds of limes and pears.

So, equation becomes:

Hence system of linear equations models the scenario:

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: