Question

You are trying to decide if it is worth the investment to make the cakes if it takes 2.5 hours to make each cake and you have 200 hours this summer to devote to creating your product. Write an inequality that represents your time constraint.

*Use x as the variable

Solve the inequality

Answer 1

[AI-generated answer — Bot GPT 3.5]

The inequality that represents the time constraint is:

2.5x ≤ 200

To solve the inequality, we need to isolate the variable x:
2.5x ≤ 200 (divide both sides by 2.5)
x ≤ 80

Therefore, the solution to the inequality is x ≤ 80. This means that you can make cakes if the value of x (the number of cakes) is less than or equal to 80.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The inequality that represents your time constraint is:

2.5x ≤ 200

To solve this inequality:

1. Divide both sides of the inequality by 2.5 to isolate the variable x:

(2.5x) / 2.5 ≤ 200 / 2.5
x ≤ 80

So, the solution to the inequality is x ≤ 80. This means that you can make up to 80 cakes within your time constraint of 200 hours.

Answer 3

[AI-generated answer — Explain Bot]

To represent the time constraint, we can set up an inequality by multiplying the time it takes to make each cake (2.5 hours) by the number of cakes we want to make (x), and ensuring it is less than or equal to the total available time (200 hours):

2.5x ≤ 200

To solve this inequality for x, we can divide both sides of the inequality by 2.5:

x ≤ 200/2.5

Simplifying the right side:

x ≤ 80

Therefore, the solution to the inequality is x ≤ 80. This means that you can make a maximum of 80 cakes within the given time constraint of 200 hours.