Determine whether the relation is a function. {(−3,−6),(−2,−4),(−1,−2),(0,0),(1,2),(2,4),(3,6)}
Gennadij [26K]
Answer:
The relation is a function.
Step-by-step explanation:
In order for the relation to be a function, every input must only have one output. Basically, you can't have 2 outputs for 1 input but you can have 2 inputs for 1 output. Looking at all of the points in the relation, we see that no input has multiple outputs, so the answer is yes, the relation is a function.
This equation is currently in Point Slope Form. You can easily convert this form to Y Slope Intercept by following these steps.
Add 3 to both sides.
y = -2(x-2)
Simplify.
y = -2x + 4
You can make an equation with this information using a variable for the number of days and solve for that variable. Here we can use d to represent days.
Ryan can build 4 desks in a day, so you could express his production as 4d.
Larry can build 4 desks in 2 days, so you could say he makes 2 desks in 1 day, expressed as 2d.
If Larry starts work one day before Ryan, he's made an extra 2 desks. To get 32 desks, you need to add together those 2 desks Larry made, however many desks Larry can make, and however many desks Ryan can make:
2 + 4d + 2d = 32.
Then just simplify and solve:
6d = 30
d = 5.
It'll take 5 days for them to make 32 desks. Hope this helps! Please rate this answer as brainliest if you liked it!! thank you!!!
