One hundred teenagers are sampled at random about how much time (in hours) they spend doing homework on a given night. The resul
ts are displayed in the graph below. Predict about how many teenagers out of 250,000 would spend 1 hour doing homework on a give night.
1 answer:
You might be interested in
Answer:
Part a) The y-intercept is the point (0,20) and the x-intercept is the point (10,0)
The graph in the attached figure
Part b) See the procedure
Step-by-step explanation:
<u><em>The questions are</em></u>
Part a) Find the intercepts and graph the function
Part b) What does each intercept represent?
Part a) Find the intercepts and graph the function
Let
x-----> the number of hamburgers
y ----> the number of hot dogs
we have
Remember that
The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero
so
For x=0
The y-intercept is the point (0,20)
The <u><em>x-intercept</em></u> is the value of x when the value of y is equal to zero
so
For y=0
The x-intercept is the point (10,0)
Plot the intercepts and graph the line
see the attached figure
Part b) What does each intercept represent?
The x-intercept is the number of hamburgers they can buy if they buy no hot dogs
The y-intercept is the number of hot dogs they can buy if they buy no hamburgers
Answer is (4,3)
=============================
Add up the x coordinates to get 9+(-1) = 8. Divide this over two and we end up with 8/2 = 4
Repeat for the y coordinates: 9+(-3) = 6, which cuts in half to get 6/2 = 3
The midpoint is at (4,3)
-------
The midpoint formula is
where (x1,y1) and (x2,y2) are the endpoints.