Any linear function is of the form y=mx+b
Here m is slope and b is y intercept.
Slope is difference in y divided by different in x values .
In the question for 5 persons cost is $100 and for 10 persons cost is $162.50
So the points are (5,100) and (10,162.50)
Slope m=
=12.50
We can find the value of b by taking m=12.50 and (x,y)=(5,100)
Substitute these values in y=mx+b
100=12.50(5)+b
100=62.50+b
Subtracting 62.50 both sides
b=100-62.50
b=37.5
a) Put m=12.50 and b=37.50 to get the equation
y=12.50x+37.50
b)Rate of change is the m value or the slope of the function.
Initial value that is (5,100) gives us one of the points to find the rate of change.
Answer: 405 students
Step-by-step explanation:
From the question, Banneker Middle School has 750 students and we are told that Lynn surveys a random sample of 50 students and finds that 27 have pet dogs. The number of students at the school that are likely to have pet dogs goes thus:
Since out of 50 students surveyed, 27 have pet dogs, this means we multiply the fraction by 750. This can be mathematically written as:
= 27/50 × 750
= 27 × 15
= 405
This means 405 students are expecting to have pet dogs.
Are you looking for the number of cans you and your friend each collected? If yes, here is the solution:
Let x be the number of cans.
4x + 5x = 180
9x = 180
9x/9 = 180/9 (divide both sides of the equation by 9)
x = 20
Now, substitute the values:
4(20) + 5(20) = 180
80 + 100 = 180
180 = 180
Therefore, you collected 80 cans and your friend collected 100 cans.
The decimal that is equal to 2/3 is...
0.66666666666
Hope this helps
U can easily put this through a calculator, but it’s 24 :)
