Question

Quick HELP Please! I will give BRAINLIEST !!! I’m So confused

Answer 1

A) Solve the equation for t from 0 to 6 and plot those points on a graph

d(0) = 140 - 10(0) = 140-0 = 140, point is (0,140)

d(1) = 140-10(1) = 140-10 = 130, point is (1,130)

d(2) = 140 - 10(2) = 140-20 = 120, point is (2, 120)

d(3) = 140 - 10(3) - 140-30 = 110, point is (3, 110)

d(4) = 140 - 10(4) - 140-40 = 100, point is (4, 100)

d(5) = 140 - 10(5) - 140-50 = 90, point is (5, 90)

d(6) = 140 - 10(6) - 140-60 = 80, point is (6, 80)

See attached picture for graph.

B) Maximum is (0,140)

Minimum is (6,80)

C) The domain is the number of hours they have tracked the hurricane and the range is the distance from land since they started tracking it.

Answer 2

First of all, you can notice that the function is a polynomial with degree 1, i.e. a line. This makes all the work much easier:

a. To plot the function, sample two points and connect them, since the graph is a line. In particular, we may sample t=0 and t=6 to draw the endpoints of the desired portion of the graph. We have

$\begin{array}{c|c}t&140-10t\\0&140\\6&80\end{array}$

So, all you have to do is to draw the point (0,140) and (6, 80) and connect them. The line you're drawing is the graph of $f(t)=140-10t$

b. Since the slope is negative, this is a downward line, meaning that the maximum is the leftmost point, and the minimum is the rightmost. We just computed those values to be 140 and 80

c. The domain [0,6] means that you're modelling what will happen within the first 6 hours of observation. The range [80,140] means that, as the beginning, the tornado is 140 units, and after 6 hours the distance will be 80 units