1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nadusha1986 [10]
3 years ago
12

The table represents the temperature of a cup of coffee over time.

Mathematics
2 answers:
Harrizon [31]3 years ago
6 0

Answer: first choice, exponential, because there is a relatively consistent multiplicative rate of change.

Explanation:

1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.

These are the data:

Time (min) ------ Temperature (°F)

0 ----------------------- 200

10 ---------------------- 180

20 --------------------- 163

30 --------------------- 146

40 ---------------------131

50 -------------------- 118

60 -------------------- 107

2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.

3) The other two options involve exponential models.

The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.

4) You can prove it:

i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:

y₁ = A [r]¹

y₂ = A[r]²

y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.

ii) Test some data:

180 / 200 = 0.9

163 / 180 ≈ 0.906 ≈ 0.9

146 / 163 ≈ 0.896 ≈ 0.9

131 / 146 ≈ 0.897 ≈ 0.9

118 / 131 ≈ 0.901 ≈ 0.9

107 / 118 ≈ 0.907 ≈ 0.9

As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.

adelina 88 [10]3 years ago
6 0

A. exponential, because there is a relatively consistent multiplicative rate of change

You might be interested in
A small business lost $6200 in its first year, lost $2150 in its second year, and earned $4780 in its third year. Overall, in th
vfiekz [6]

Answer:

-6200-2150+4780

-8350+4780

Overall, they lost $3570

4 0
3 years ago
Find the volume of the square pyramid and round to the
Brrunno [24]
The answer is to multiply
3 0
3 years ago
Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2
Ganezh [65]

Answer:

Step-by-step explanation:

it is this graph

5 0
3 years ago
Read 2 more answers
Evaluate 3/2y-3+5/3z when y =6 and z =3
Varvara68 [4.7K]

pluge in

3/2*6-3+5/3*3

1/4-3+5/6

3/12+10/12-3

13/12+3

4.083333

8 0
3 years ago
Read 2 more answers
Plz help me with part 48
Zigmanuir [339]
I pretty sure its c hope this helps
7 0
3 years ago
Other questions:
  • I'm stuck on graphing this quadratic equation:<br><img src="https://tex.z-dn.net/?f=y%20%5Cleqslant%20%20%7Bx%7D%5E%7B2%7D%20%20
    7·1 answer
  • Where does my sister put brackets at?
    13·2 answers
  • HELP PLEASE !!!! Rosana used linear combination to solve the system of equations shown. She did so by multiplying the second equ
    12·2 answers
  • A line has a slope of 7 and contains the point (5, −9).
    5·1 answer
  • In triangle ABC, if b is the longest side, what can you conclude about angle A?
    7·2 answers
  • What is the median of the following set of numbers: 14, 17, 11, 17, 12, 13, 13, 14, 19, 25, 22, 18, 11, 23, 9
    5·2 answers
  • Plzz help. Giving everything.<br> D. 24.5
    8·1 answer
  • The distance between 2 cities on a map is 4.125 inches. Find the actual distance i’d the scale on the map is 2 inches = 40 miles
    13·1 answer
  • How can you subtract similar fraction,dissimilar fraction and mixed number?​
    14·2 answers
  • What are the correct answers
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!