The number of new visits to a website is decreasing exponentially. It can be modeled by the function h(d)=2170(0.92)^d, where h
is the number of new site hits and d is the number of days since the site opened. Which of the following is the average rate of change of h over the interval 2≤d≤4?
1)-141 hits per day
2)-282 hits per day
3)71 hits per day
4)210 hits per day
Please explain how you did this thanks
1)-141 hits per day
2)-282 hits per day
3)71 hits per day
4)210 hits per day
Please explain how you did this thanks
1 answer:
Answer:
2) -141 hits/da
Step-by-step explanation:
Calculate the values of h(2) and h(4)
h(2) = 2170(0.92)² = 2170 × 0.8464 = 1837
h(4) = 2170(0.92)⁴ = 2170 × 0.7164 = 1555
Calculate the average rate of change
Rate of change = (y₂ - y₁)/(x₂-x₁) = (1555 -1837)/(4 - 2) = -282/2 = -141 hits/da
The average rate of change is -141 hits/da.
In the figure below, the red curve represents the function h(d), while the green dashed line represents the average rate of change over the interval 2 ≤ d ≤4.
You might be interested in
Answer:
60 miles per hour.
Step-by-step explanation:
Let r represent speed of wind blowing in miles per hour.
We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be .
The speed of the plane is the opposite direction of wind would be .
Distance covered in the direction of wind would be .
Distance covered in the opposite direction of wind would be .
Since both distances are same, so we will get:
Therefore, the wind is blowing at a rate of 60 miles per hour.