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:
Step-by-step explanation:
1/2 b*h *2
1/2 * 14*24*2= 336
The base l*w
10*14= 140
Sides l*w
25*10*2= 500
500+140+336=976
The ratios are Surface area ⇒ 4 : 25 Height ⇒ 2 : 5 and Volume ⇒ 8 : 125
<h3>How to determine the ratios?</h3>
The scale factor is given as:
m : n = 2 : 5
For the area, we take the square of the ratios.
i.e.
Area = 2^2 : 5^2
Evaluate
Area = 4 : 25
For the volume, we take the cube of the ratios.
i.e.
Volume = 2^3 : 5^3
Evaluate
Volume = 8 : 125
The given scale factor can be used for the height of the model and the original bicycle
Hence, the ratios are
Surface area ⇒ 4 : 25
Height ⇒ 2 : 5
Volume ⇒ 8 : 125
Read more about ratios at:
brainly.com/question/13419413
#SPJ1
A)
The slope-intercept form:

m - slope
b - y-intercept
The formula of a slope:

We have the points (2, 5.1) and (-1, -0.5). Substitute:

Therefore we have:

Put the coordinates of the point (-1, -0.5) ot the equation:

<em>multiply both sides by 2</em>
<em>add
to both sides</em>
<em>divide both sides by 2</em>

Answer: 
-------------------------------------------------------------------------
B)
We have the points (-2, 3) and (3, -4).
Calculate the slope:

Therefore we have:

Put the coordinates of the point (-2, 3) to the equation of a line:

<em>subtract
from both sides</em>

Answer: 
This is a 20% increase. If we divvy up the 25 into 5 groups, we can say that each group is 20%. since we added another group of 5, we can go off of our known values and say that this was a 20% increase.