Emmy is spending her summer helping manage a construction and excavation company. The company needs to purchase a lot of stone to redo gravel driveways for several customers (a common summer project for business and homeowners). She'd like to do everything in crushed stone, but at $65 per ton, it's too expensive. Pea stone is cheaper, and if she buys 80 tons of it, the quarry will give her a special price of $35 per ton. Given the total area of all the driveways, 80 tons of pea gravel will be a good portion of what she needs. To give her clients a good deal, she wants to target an average price of $50 per ton for the stone mixture. She wants to buy the special package of 80 tons of pea gravel and as much crushed stone as possible. If we let t be the number of tons of crushed stone, which equation best represents the situation?
1 point
1
Question 3
3.
What value for p makes the following equation true?
1 point
1
Question 4
4.
Which of the following equations are conditional equations, i.e., they have a finite, non-zero number of solutions.
1 point
1
Question 5
5.
A wireless cell service company offers two different data plans.
The first plan charges a flat monthly fee of $25, for which the user receives 2 GB of data. Beyond 2 GB, data usage is charged at $8 per GB.
The second plan charges $50 for the monthly fee. The user gets 4GB of data usage, after which they pay $5 per GB.
Let d represent the amount of data in GB that a person uses in a month. Select the equation that can be used to find the amount of data use for which the cost of the two plans would be equal.
1 point
1
Question 6
6.
In the scenario above, for what ranges of data usage does it make sense to buy the first plan? (select all that apply)