Answer:
i am writing it just for points
As the variation is direct we have:

We must find the value of k.
For this, we use the following data:
y = 200 when x = 5
Substituting values we have:

Clearing k:

Then, the function is:

We evaluate the function for x = -3
Answer:
the value of y when x = -3 is:
c.
72
Answer:
slope = 35; y-intercept = -45
Step-by-step explanation:
Function f(x) is written in the slope-intercept form, y = mx + b.
f(x) = -7x + 9
You compare it with
f(x) = mx + b, and you see that m, the slope, is -7, and b, the y-intercept is 9.
Now we deal with function h(x).
h(x) = -5(-7x + 9)
This is not written in the y = mx + b form, but we can put it in that form by distributing the -5.
h(x) = 35x - 45
Now, h(x) is written in the y = mx + b form. We see clearly that m = 35, so the slope of function h is 35. We also see that b, the y-intercept is -45.
Answer: slope = 35; y-intercept = -45
I think you meant to say

(as opposed to <em>x</em> approaching 2)
Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:
