<u>Answer:</u>
Rhonda will not fall 264 times in 360 jumps.
<u>Solution:</u>
Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.
We have to find At this rate, how many times will she not fall in 360 jumps.
Now,
For 15 jumps → 4 falls
For 360 jumps → n falls
Now apply Chris cross method,
So, she falls 96 times in 360 jumps.
Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.
Hence, Rhonda will not fall 264 times in 360 jumps.
Problem #2
We must find the solution to the following system of inequalities:
(1) We solve for y the first inequality:
Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:
The solution to this inequality is the set of all the points (x, y) over the line:
This line has:
• slope m = 3/2,
,• y-intercept b = -2.
(2) We solve for y the second inequality:
The solution to this inequality is the set of all the points (x, y) below the line:
This line has:
• slope m = -1/3,
,• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,• and below the line from point (2),
we get the following graph:
AnswerThe points that satisfy both inequalities are given by the intersection of the blue and red regions:
