Interpret Equations
- $p$, which represents the average cost of the paper, will go up if the cost of the her favorite paper goes up.
- $b$, which represents the number of boxes that she wraps, will go up in the holiday season.
- 4 is multiplied by $hl$, which represent "height x length," so, the four must represent the 4 sides of the box.
- $hl$ (height times length) is multiplied by 4 and $lw$ (length times width) is multiplied by 2. So, an increase in height would have a bigger impact on costs (because it is multiplied 4 times rather than 2).
- $d$ represents the number of days that have passed, so as summer progresses, this variable should increase.
- Because each day that passes subtracts 64 from 3670, $L$ should go down as the summer passes (and $d$ increases).
- In this equation, there's a starting point, that goes down a little each day. Because the question is about reading, 3670 must be the starting number of pages that need to be read.
- And, each day the number 3670 decreases a little, in fact, it decreases by 64 pages a day. 64 represents the number of pages Garret reads each day.
- 5 is multiplied by $h$ which represents hours. So, the boat must cost 5 dollars per hour.
- 8 is not multiplied by anything. It is a constant. It must cost 8 dollars to rent a boat, no matter how long it is rented for or how many riders are going in the boat.
- Because the boats cost more per hour than they do per rider, it would be cheaper for the larger group (8 people) to rent for a shorter time than a larger group to rent for a shorter time.
- In this case, you need to plug values into the equation and test it out:
$C=8+5(4)+3(8)=52$ (one boat, all eight people)
$C=8+5(4)+3(4)=40$ (one boat, only 4 people, so two boats with 4 people each would be \$80, which would be more).
Definitely cheaper for everyone to get in the same boat!