Answer:
The rate of change in the table is 78 students per year
Step-by-step explanation:
Here, we want to get the rate of change of the function
Mathematically, we can get this by using the formula;
m = (y2-y1)/(x2-x1)
(x1,y1) and (x2,y2) are points we are to select from the table
Let us select the point (4,704) and (17,1718) from the table
The slope is thus;
m = (1718-704)/(17-4) = 78 students per year
We find the slope through the formula y2-y1/x2-x1
so when we plug in the values of our two points, we get
2-(-1)/(0-(-1))
this gets us 3/1
Which gives us the slope m=3
Answer: y = 30x + 50
Step-by-step explanation:
let y be the distance traveled (in meters) after x minutes.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (260 - 110)/(7 - 2)
m = 150/5 = 30
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 7, y = 260 and m = 30 into y = mx + c. It becomes
260 = 30 × 7 + c = 210 + c
c = 260 - 210
c = 50
The linear model becomes
y = 30x + 50
If Derek rows a boat one mile for 11 days, we can solve this using the equation:
11*1=11
So in 11 days, Derek rows 11 miles.
I hope this helps!
