Mathematics, 17.07.2019 21:00 vero5047

The table below represents the distance of a truck from its destination as a function of time: time distance (hours) (time) x y 0 330 1 275 2 220 3 165 4 110 part a: what is the y-intercept of the function, and what does this tell you about the truck? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the truck continued to travel at this rate until it reached its destination? (2 points)

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Part A:
The y-intercept of the function is given when x = 0. We already have a y-value for x = 0, and that y-value is 330.

Assuming miles is the unit used here for distance, this means that the truck was started 330 miles away from its destination.

Part B:
The average rate of change is represented by the slope of this function. We can find the slope of this function with the rise over run formula:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

We are asked to use the points at x = 1 and x = 4. Plug the x and y values into the formula:

(1,275) and (4,110)
$\frac{110-275}{4-1} = \frac{-165}{3} = -55$

The average rate of change of the function is -55. This represents the average miles per hour the truck travels towards its destination.

Part C:
This part asks for the x-intercept of the equation. The x-intercept is defined where y = 0, which represents the destination the truck is traveling to. The domain would be restricted by the y-intercept and x-intercept, as the truck stops once it reaches its destination. We are missing the x-intercept, so we'll use the slope and the y-intercept to find it.

To find the x-intercept, we must divide the y-intercept by the slope, and subtract the result from the y-intercept's x-value:

$330 \div -55 = -6$
0 - (-6) = 6

The x-intercept is located at (6,0). The domain can be stated as follows:

$\{x| 0 \leq x \leq 6\}$

Answer from: Quest

gdp is the best phrase!

Answer from: Quest

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64. therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

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The table below represents the distance of a truck from its destination as a function of time: time...