let X be number of students
and y be total cost
when 30 students (30,X)where at the gym it's costs 200 (y,200)
=that is (X,y)=(30,200)
when 70 students where at the gym
=(X,y)= (70,330)
now we find the slope
M=y2-y1/x2-x1
= 330-200/70-30
= 100/40
= 2.5=3
now
Y=Mx+b
Y=2x+b
we need to find the value of b
so,we substrate for X and Y
X=30,200
200=2(30)+b
re-arrange
B+60=200
B=200-60
=140
y=2x+140
For the other questions, I can look at the equation I got. The y-intercept (b value) is $200. That means that we are adding $200 on to the price all the time. That's the price for the empty bus. The 2x means to multiply the number of people by two and add this to the $120. So each person is $2.
hope it's helpful
and please I really need brainliest, thanks
Answer:
i need help
Step-by-step explanation:
Answer:
2.8 hours
Step-by-step explanation:
Distance = rate * time
If the west-bound train travels at a rate of 80 mph for t hours, then the distance it travels is 80t.
If the east-bound train travels at a rate of 90 mph for t hours, then the distance it travels is 90t.
The distance between the trains after t hours is 476; therefore, the distance of the west-bound train plus the distance of the east-bound train equals the total distance between them, 476:
80t + 90t = 476 and
170t = 476 so
t = 2.8 hours
1/2 hour = 105 miles
Divide by 1/2 on both sides :
1/4 hour = 52.5 miles
-2(3x - 9) + 5x = -10
-6x + 18 + 5x = -10
-6x + 5x = -10 - 18
-x = -28
x = 28 <===
