Answer:
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.
Step-by-step explanation:
Median means middle. How you solve this is by first putting the numbers in order from least to greatest:
36 41 43 45 46 48 48 51 51 52
Now that it is in order in each "level" take away the smallest and largest number until you get to the middle
36 41 43 45 46 48 48 51 51 52
41 43 45 46 48 48 51 51
43 45 46 48 48 51
45 46 48 48
46 48
Now this is a bit tricky because there isn't one number to signify the exact middle. When you have two numbers left you must take the mean of those two numbers. This means that you add the two numbers left and then divide the answer by 2:
46 + 48 = 94
94 ÷ 2 = 47
Hope this helped!
Hey there!☺
Divide both fractions.
Simplify the improper fraction.
is your final answer.
Hope this helps!
Answer:
12,690 people are expected to vote for Mr Salva
Step-by-step explanation:
Here, we want to know the number of people that is expected to vote for a particular candidate in an election given that 54% of people surveyed had said they would vote for the candidate.
Now to calculate the number of people expected to vote for Mr Salva, what we need to do is to find the number out of 23,000 that actually represents a percentage of 54%
To do this, we find 54% of 23,500
mathematically, we have;
54/100 * 23,500
= 12,690
