Answer:
For A: The first function has a greater ROC
For B: The first function has a negative slope
Explanation:
Explication for A:
We already know that the R.O.C. (slope) is 2 for the first function, so all we need to do is substitute the values in the table into the following formula: y2-y1/x2-x1
after substituting: (-3-(-6))/(0-(-1))
simplify 3/1=3, since the ROC is 3, the second equation has a greater ROC than the first
Explanation for B:
The first function described is f(x)=20-3.5x
This is because the y intercept is the starting point, or how much money she has in the gift card. She spends 3.5 dollars per week, so we add a variable to represent the number of weeks, and its negative since she is spending, not earning. We also know that the slope is negative since y is decreasing as x is increasing, on the table.
The second function described is c(m)=5x+10
This is because the equation represents the total cost of renting a calculator, so both terms are positive.