jerome is planning for this years beach clean kickoff event. this year, jerome wants to buy reusable water bottles with the beach clean logo to the volunteers. the customized-water-bottle company charges an order-processing fee with each order. plus the cost of each water bottle ordered. the equation below can be used to find the cost of b water bottles.
1.2b + 20
What is the maximum number of water bottles that marine can order and stay within the $300 budget? Show your work

Respuesta :

Answer:

233 bottles

Step-by-step explanation:

In this problem, the cost of b water bottles can be found by using the equation:

[tex]c=1.2 b +20[/tex]

where

b is the number of bottles

1.2 is the cost of each bottle

20 is the fee for the order

Here we want to know the maximum number of water bottles that Marine can order staying within a budget of $300. So we can write that the cost must be less or equal than 300$:

[tex]1.2b+20 \leq 300[/tex]

To solve the equation, we subtract 20 from both sides first:

[tex]1.2b+20-20\leq 300-20\\1.2b \leq 280[/tex]

Now we divide both sides by 1.2:

[tex]\frac{1.2b}{1.2}\leq \frac{280}{1.2}\\b\leq 233.3[/tex]

So, Marine can buy at most 233 bottles.