Question

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.
2 x + 3 y = 24
correct
explanation:
the cost of each bag of carrots is $2, which is represented as 2x. the cost of each bag of bagels is $3, which is represented as 3y. the combined cost of carrots and bagels is $24. so, the equation in standard form is 2x + 3y = 24.
part b
question
enter the correct answer in the box.
write the equation you created in part a in slope - intercept form.

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We start with the equation from part A: $2x+3y = 24$.

Step2: Isolate the y - term

Subtract $2x$ from both sides of the equation $2x + 3y=24$. We get $3y=- 2x + 24$.

Step3: Solve for y

Divide each term in the equation $3y=-2x + 24$ by 3. So, $y=\frac{-2x + 24}{3}$. Simplify the right - hand side: $y=-\frac{2}{3}x + 8$.

Answer:

$y = -\frac{2}{3}x+8$