Mathematics, 13.10.2020 03:01 jcox626

2.Use the following graph to estimate the rate of change of the function at x=0.5 using the points (−1,−1) and (1,3) A. The rate of change is −1/2.

B. The rate of change is 2.

C. The rate of change is 1/2.

D. The rate of change is −2.

3.The following graph shows the inches of snow on the ground over a certain number of hours. Use the graph to estimate the rate of change of the function at 3 hours using the points (0,0) and (5,10)

A. The rate of change is −1/2 of an inch per hour.

B. The rate of change is 1/2 of an inch per hour.

C. The rate of change is 2 inches per hour.

D. The rate of change is −2 inches per hour.

4.The following graph shows the average temperatures in degrees Fahrenheit (°F) over the days of a month. Use the graph to estimate the rate of change of the function at the ninth day of the month using the points (2,55) and (10,65)

A. The rate of change is 0.8 degrees Fahrenheit per day.

B. The rate of change is 1.25 degrees Fahrenheit per day.

C. The rate of change is −0.8 degrees Fahrenheit per day.

D. The rate of change is −1.25 degrees Fahrenheit per day.

5.Use the following graph to answer which of the following points would provide the most accurate estimation for the rate of change of the function as it crosses the y-axis. Explain.

(−0.5, 2)

(0.5, 3)

(−0.5, 3)

(0.5, 1)

A.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.

B.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.

C.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.

D.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.

2.Use the following graph to estimate the rate of change of the function at x=0.5 using the points

Answers: 3

Show answers

Answers

Answer from: hannaho64

2. B. The rate of change is 2

3. C. The rate of change is 2 inches per hour

4. B. The rate of change is 1.25 degrees Fahrenheit per day

5. (-0.5, 3) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0

Step-by-step explanation:

2. Using the points (-1, -1) and the (1, 3) we have;

The rate of change = (Change in the y-values)/(Corresponding change in the x-values)

The rate of change = (3 - (-1))/(1 - (-1)) = 4/2 = 2

The rate of change is 2

3. Using the points (0, 0) and the (5, 10) we have;

The rate of change = (Change in the y-values)/(Corresponding change in the x-values)

Given that the function is a linear function, the rate of change of the function at 3 hours is given by the slope, m, as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where;

(x₁, y₁) = (0, 0)

(x₂, y₂) = (5, 10)

The y-coordinate being the inches of snow, and the x-coordinate being the time in hours, we have;

The rate of change = (10 - 0)/(5 - 0) = 10/5 = 2

The rate of change is 2 inches per hour

4. Given that the function is a linear function, the rate of change of the function at ninth day is given by the slope, m, as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where;

(x₁, y₁) = (2, 55)

(x₂, y₂) = (10, 65)

The y-coordinate being the temperature in degrees, and the x-coordinate being the time in days, we have;

$Slope, \, m =\dfrac{65-55}{10-2} = \dfrac{10}{8} = 1.25$

The rate of change is 1.25 degrees Fahrenheit per day

5. The points on the graph of the function that come before and after the point where the graph of the function crosses y-axis (the y-intercept) and are close to point are (-0.5, 2) and (0.5, 3)

Therefore, (-0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0.

Answer from: Quest

The year before the 10s so it was like when caveman were alive

Answer from: Quest

What exactly is your question?

Another question on Mathematics

Mathematics, 21.06.2019 17:00

What is the arc length when θ =pi over 3 and the radius is 5 cm? (5 points) 5 pi over 3 cm 10 pi over 3 cm 16 pi over 3 cm pi over 3 cm

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

What number line represents the solution set for the inequality -1/2 greater than or equal to 4

Answers: 1

Answer

Mathematics, 21.06.2019 21:10

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Answers: 3

Answer

Mathematics, 22.06.2019 00:00

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

Answers: 2

Answer

You know the right answer?

2.Use the following graph to estimate the rate of change of the function at x=0.5 using the points (...

Questions

Mathematics, 19.05.2020 16:05

Find f(–2) for the function f(x) = 3x2 – 2x + 7...