i)
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
You can copy and paste the inequality sign below in your answer.
≥ < > ≤
*
1 point
2.5x ≤ 200
j)
Solve your inequality from part i
To solve the inequality 2.5x ≤ 200, we need to divide both sides of the inequality by 2.5:
2.5x/2.5 ≤ 200/2.5
This simplifies to:
x ≤ 80
Therefore, the solution to the inequality is x ≤ 80.
i) The inequality that represents the time constraint is 2.5x ≤ 200.
To solve the inequality, we need to isolate the variable x.
Divide both sides of the inequality by 2.5:
(2.5x) / 2.5 ≤ 200 / 2.5
x ≤ 80
So, the solution to the inequality is x ≤ 80.
i) To represent the time constraint, we need to consider that the total time spent making cakes should be less than or equal to the available time. Since it takes 2.5 hours to make each cake and you have x cakes to make, the total time spent making cakes can be represented as 2.5x. The available time is 200 hours.
Therefore, the inequality that represents the time constraint is:
2.5x ≤ 200
j) To solve the inequality 2.5x ≤ 200, we need to isolate the variable x.
Dividing both sides of the inequality by 2.5 gives us:
x ≤ 200/2.5
Simplifying further, we get:
x ≤ 80
So the solution to the inequality is x is less than or equal to 80.