Missing part of the question:
Lydia is at a coffee shop and knows she can spend no more than $65 before tax. She sees this price list in the coffee shop.
Item Price per pound
Dark Roast Coffee $7.50
Pumpkin Spice Coffee $10.50
Answer:
[tex]15.0 + 10.50p \le 65[/tex]
[tex]p \le 4.76[/tex]
Step-by-step explanation:
From the question, we understand that she wants to buy 2 pounds of dark roast coffee.
If 1 pound costs $7.50, then 2 pounds cost $15.0 (i.e. $7.50 * 2)
If 1 pound of pumpkin spice coffee costs $10.50, then p pounds cost $10.50p (i.e. $10.50 * p)
So, her total spendings (before tax) is:
Spendings = 15.0 + 10.50p
We also know that she plans to spend not more than $65.
The inequality that represents this scenario is:
[tex]Spendings \le 65[/tex]
[tex]15.0 + 10.50p \le 65[/tex]
Solving further:
[tex]10.50p \le 65 - 15.0[/tex]
[tex]10.50p \le 50.0[/tex]
Make p the subject
[tex]p \le \frac{50.0}{10.50}[/tex]
[tex]p \le 4.76[/tex] -- approximated
