Question

60 points!

solve 60 points!

It takes a shipping employee 4.25 min to prepare a package for domestic delivery and 6.5 min to prepare a package for international delivery.

Let x represent the number of domestic packages.

Let y represent the number of international packages.

The employee has no more than 1 h to ship packages.

The employee must ship more than 10 packages.

Select all correct choices for the inequalities that model these constraints.
4. 25x + 6.57 < 60
y>0
4. 25x + 6.5y > 60
x+ y< 10
x+y > 10
x > 0

Answer 1

4.25x + 6.5y ≤ 60

y ≥ 0

x + y > 10

x ≥ 0

Explanation:

We will write mathematical inequalities for all the details given.

Let x represent the number of domestic packages.

We cannot have negative packages, so x ≥ 0.

Let y represent the number of international packages.

We cannot have negative packages, so y ≥ 0.

The employee has no more than 1 h to ship packages.

If it takes 4.25 minutes to prepare an x package and 6.5 minutes to prepare a y package, and 1 hour is equal to 60 minutes, we can write this as 4.25x + 6.5y ≤ 60.

The employee must ship more than 10 packages.

This means the total number of packages must be greater than 10, so x + y > 10.