Could anyone help me with this scatter plot question? Thanks :)

Mathematics

2 answers:

sleet_krkn [62]3 years ago

7 0

You need to find the slope of a line which you find by picking two points then subtracting one y value from the other and subtracting the corresponding x values from each other (ex. (16,4) and (3,6) 4-6/16-3= -2/13. So -2/13 is the slope) for the second question about negative or positive correlation it means if the y value increases does the x value increase as well(or vice versa)? if so then its a positive correlation however if when the y value increases the x value decreases (or vice versa) its a negative correlation . If the dots are just all over the place its no correlation

Rama09 [41]3 years ago

6 0

I can only help you with the second one. It is a positive correlation because it is going upwards. Good luck with the first one!

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Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per

emmasim [6.3K]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.

For the first month, he needs to exercise at most five hours per week, then

$x+y\le 5$

Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.

Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.

Nando must burn at least 2,000 calories per week, so

$350x+700y\ge 2,000$

You get the system of two inequalities:

$\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.$

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.