<span>let x = the original no. of students
then
(x+10) = the actual no. that went on the trip
:
= the original cost per student
and
= the actual cost
:
Original cost - actual cost = $12.50
- = 12.50
multiply equation by x(x+10)
x(x+10)* - x(x+10)* = 12.50x(x+10)
Cancel the denominators
1500(x+10) - 1500x = 12.5x(x+10)
1500x + 15000 - 1500x = 12.5x^2 + 125x
Combine on the right to form a quadratic equation
0 = 12.5x^2 + 125x - 15000
Simplify, divide equation by 12.5
x^2 + 10x - 1200 = 0
You can use the quadratic formula; a=1; b=10; c=-1200, but this will factor to
(x + 40(x - 30) = 0
The positive solution is what we want here
x = 30 students in the original group
Check this by finding the cost per student for each scenario
1500/30 = $50.00; original cost
1500/40 = $37.50; actual cost
---------------------
saving: $12.50</span>
Answer:
2,796.
Step-by-step explanation:
First, I added 619 + 313, which is 932. Since she is able to use more, I multiplied it by two to get me 1,864. If I tried multiplying it by three, I would get 2,796, which is a perfect amount.
Answer:
12.50
Step-by-step explanation:
62/5=12.4
60/2=30
5/2=2.5
The value of y would be 60
The way you would solve this is by plugging in 7 for x.
After you plug in the 7 for x you would have to multiply 7 by 4 to get 28.
Next you would add 28 to 32 to get 60.
Your final answer should be y=60
Formula to find the slope:
m = y2-y1 / x2-x1
(4,3); (8,5)
m= 5-3 / 8-4
m = 2/4
m = 1/2
Therefore, the slope of the line that passes through these points is 1/2
