Question

lesson activity
modeling with linear equations
this activity will help you meet these educational goals:
you will write and graph linear equations in two variables given a verbal description.
directions
read the instructions for this self - checked activity. type in your response to each question, and check your answers. at the end of the activity, write a brief evaluation of your work.
activity
in this activity, you will model a real - world situation with an equation and interpret the equation.
part a
question
type the correct answer in each box.
jessica has $24 and plans to spend it all at the grocery store. she wants to purchase bags of carrots and bagels. bags of carrots cost $2 each, and bagels cost $3 per bag. let x represent the number of bags of carrots and y represent the number of bags of bagels. complete the equation in standard form that models this scenario.
( )x+( )y=( )

Explanation:

Step1: Determine cost for carrots

Bags of carrots cost $2 each, and \( x \) is the number of carrot bags. So the total cost for carrots is \( 2x \).

Step2: Determine cost for bagels

Bagels cost $3 per bag, and \( y \) is the number of bagel bags. So the total cost for bagels is \( 3y \).

Step3: Total cost equals total money

Jessica has $24 to spend, so the sum of the cost of carrots and bagels is $24. Thus, the equation is \( 2x + 3y = 24 \).

Answer:

\( 2 \)x + \( 3 \)y = \( 24 \)