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lozanna [386]
3 years ago
15

There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses

more than $1000? How can you decide without using division.
Mathematics
2 answers:
kap26 [50]3 years ago
5 0
No the total cost would be less than $1000
Svetllana [295]3 years ago
4 0
If 10 buses are going:
Cost: $95 * 10
= $950, which is less than $1000.

44 * 10 = 440 students, which is more than enough.

The total cost is less than $1000 because overestimating the amount of buses going gives an answer of less than $1000, meaning that it is too much for the amount of students going on a field trip.
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Tags:  <em>indefinite integral fraction rational substitution power differential calculus</em>

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CaHeK987 [17]

<u>Let's take this problem step-by-step</u>:

<u>Let's first set up some variables</u>:

  • c: # of children
  • a: # of adults

<u>Let's examine the information given:</u>

  • Elevator can hold a maximum of 1500 pounds

          ⇒ average child is 75 pounds

          ⇒ average adult is 150 pounds

                 ⇒<em> therefore</em>: 75c + 150a\leq 1500

  • Elevator can fit no more than 14 people

          ⇒ <em>therefore</em>: c + a \leq 14

<u>Let's graph the equations</u>:

 75c+150a\leq 1500\\c+a\leq 14

    ⇒ look at the image attached

<u>The point at which the two graphs intersect:</u>

  ⇒ <em>is the solution that represents the amount of children and adults and </em>

<em>       their combine weight</em>

<em />

<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>

<em>  ⇒ the </em><em>solution is 8 children and 6 adults</em>

<em></em>

<u>Answer: 8 children and 6 adults</u>

<u></u>

Hope that helped!

<em />

               

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