Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
Hey there!
To start, first let's assign a variable to each person:
A to represent the miles biked by Albert
B to represent the miles biked by Bob
Now, let's set up a system of equations:
A=3B
A + B = 72
Next, use substitution (plug 3B in for A in the second equation since A is equal to 3B):
3B + B = 72
Then, simplify and solve:
3B + B = 72
(combine like terms)
4B = 72
(divide both sides by 4)
B=18
Now that you know the amount that Bob biked, you can plug his miles into the equation for Albert: A=3B
B=18
A=3(18)
A= 54
Your final answer would be that Albert biked 54 miles.
Hope this helps!
Two at the top (side by side)
Two at the bottom ☝
One on right side
One on left side
And grandfather in the middle
