The table shows the approximate height of a football after it is kicked. Tell whether the rates of change for successive time intervals are constant or variable

Answer: 36, 13, -10

The rates of change are variable.

Step-by-step explanation:

The rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.

A variable is a quantity that changes in its value, but a constant remains fixed.

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

For this case, we get the rates as:

For rate between first two values,

[tex]Rate_1 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{17-0}{0.5-0} = 34[/tex]

For rate between second two values,

[tex]Rate_2 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{30-17}{1.5-0.5} = 13[/tex]

For rate between third two values,

[tex]Rate_3 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{25-30}{2-1.5} = -10[/tex]

We see that the rate of change of height of the football considered with respect to time is changing, so its a variable.

Thus, the rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.

Learn more about rate of change here:

https://brainly.com/question/15125607

#SPJ2

Quadrilateral Q’R’S’T is a dilation if quadrilateral QRST, with the origin as the center of dilation.

What appears to be the scale factor used to create this dilation?

4

0.5

2

0.25

6.39E-26 in scientific notation please help

The population of Austin, Texas in 1980 was 346,000 people. The population in 1990 was 472,000 people. What is the rate of change of the population with respect to the year for this function?

Select all the correct answers.
Terry is an up-and-coming florist who specializes in weddings. He uses 5 roses, 3 daisies, and 4 bundles of green filler to make one bouquet. If r is the cost of a rose, d is the cost of a daisy, and f is the cost of a bundle of green filler, which expression represents the cost for making 75 bouquets?
75r +75d + 75f + 12
(5r + 3d + 4f) + 75
75(5r) + 75(3d) + 75(4f)
75(5r + 3d + 4f)

Solve and then tell how many solutions there are. 4v – 13 – 10v = 12 – 24v + 5 + 18v

The shaded area of the picture shows what part of the yard Rashon mowed in 15 minutes. He wonders how long it will take him to mow the whole yard.

How long will it take Rashon to mow the entire yard?


30 mins.




60 mins.



90 mins.

180 mins.

5(−3.4k−7)+(3k+21) find the sum

Show step by step In a day there are 86,400 seconds. Write this number in scientific notation.

I need help with this. Someone told me that the answer was 52 but idk how to explain how I got it. Can you please help me out. THANK YOU SO MUCH IF YOU DO!

Part A: James bought a cake that weighs 3 and 1 over 4 pounds. How many ounces does the cake weigh? Show your work. (5 points)

[16 ounces = 1 pound]

{0,1,-3}
---------------------------
-3 -2 -1 0 1

0n the number line.

Mrs. Nygaard’s class has 12 boys and 14 girls. She asked the class members if they prefer a field trip to the local zoo or to an aquarium. She set up a two-way table to summarize the results. Which could describe the row and column headings for Mrs. Nygaard’s table? gender and field trip preference gender and number of students who prefer the aquarium number of boys and number of students who prefer the aquarium number of girls and field trip preference

A plant grew 7 inches in 5 months. The plant grows the same amount each month. Use this rate to complete this table.
(Redo since the last photo was all wonky and stuff)​

Is this right? I chose the last 3. Please read all of them though.

Can someone help me please

A local donut shop sells a dozen donuts for $8.64 . At this rate , how much would 14 donuts cost ?

Help! Question on khan academy! pls explain

Rewrite the absolute value function y=|x|-3 as two linear functions, one that has the domain x<0, and one that has the domain x≥0.

PLEASE HELP!!!!!!!!!!!!!!!!!

The body of a 154-pound person contains approximately 2×102 milligrams of gold and 6×103 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times greater than the number of milligrams of gold in the body?

can you show your work too?

The two opposite vertices of a square
are (-2, 2) and (1, -1). What are the other two vertices of the square?

please help i don't understand. will mark brainliest. answer the both questions

Relationship B has a lesser rate than Relationship A. Does this graph represent Relationship A. What table could represent Relationship B?

{Time (weeks) 3 6 8 10
{ Plant growth (in.) 4.8 9.6 12.8 16

{Time (weeks) 3 4 6 9
{Plant growth (in.) 6.3 8.4 12.6 18.9

{Time (weeks) 3 6 8 10
{Plant growth (in.) 2.25 4.5 6 7.5

{Time (weeks) 3 4 6 9
{ Plant growth (in.) 5.4 7.2 10.8 16.2

The first-quadrant graph showing a ray from the origin through the points begin ordered pair 2 comma 3 ends ordered pair and begin ordered pair 4 comma 6 end ordered pair. The horizontal axis label is Time in weeks. The vertical axis label is Plant growth in inches.

k + 9 = 17

What does k value?
k=8
k=9
k=17
k=26

what is 35.6 multiplied by 4.9.

help im not good with fractions!!!

Randy has 2/3 of a bag of candy left. He has 3 friends he wants to give his leftovers to. If he splits the remaining 2/3 of a bag among his 3 friends equally, what part of the bag will each friend get?

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas?
3 : 8

3 : 5

2 : 8

2 : 5

How do I do Distance Formula? Here is the equation ( or equations I don't know if it is a equation or 2 different ones) that I need help with
They are late and I need to turn them in [tex]C(-5, -3), D(-4, -2)\\K(8 1/2, 12), L( -63/4, 7 1/2)[/tex]

Triangle ABC is dilated to produce triangle A ' B ' C' with scale factor of 3/4. Which describes the relationship between the two triangles?

A - Triangle A ‘ B ‘ C’ is an enlargement of triangle ABC

B - Triangle A ‘ B ‘ C’ is a reduction of triangle ABC

C - Triangle A ‘ B ‘ C’ is congruent to triangle ABC

D - Triangle A ‘ B ‘ C’ is a mirror image of triangle ABC

Please answer this question correctly. Please

What is 2 8 10 +(−3.5) in decimal form? Show your work

An arithmetic sequence has a first term of 8 and sixth term of 38. What is the 50th term of this sequence?