The correct answer is A.
The independent variable is time and the dependent variable is distance; this means the slope tells us how far she goes per minute. Since the slope is negative and we are referring to her distance from her house, this means the distance from her house is decreasing, which means she is getting closer to her house.
Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation

where
- m is the rate of change or slope
Given that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
<u>EXTRA BONUS!</u>
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
Remark
This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.
Step One
Set up the sine Law.

Step Two
Substitute values
Sin(x) = ??
sin(75) = 0.9659

Step Three
Cross multiply and Solve
22* Sin(x) = 12 * 0.9659
22* Sin(x) = 11.591 divide by 22
sin(x) = 11.591 / 22
sin(x) = 0.5269
Step Four
You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.
x = sin^-1(0.5269)
2nd F
Sin^-1
(
0.5269
)
=
You should get 31.79 degrees.