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
Gemiola [76]
2 years ago
11

A $16,000 robot depreciates linearly to zero in 10 years. (a) find a formula for its value as a function of time, t, in years.

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
8 0

We are given, cost of the robot for 0 number of year = $16,000.

0 represents initial time of the robot.

After 10 year cost of the robot is = $0

The problem is about the number of the years and cost of the robot over different number of years.

So, we could take x coordinate by number of hours and y coordinate for y number of hours.

So, from the problem, we could make two coordinates for the given situation.

(x1,y1) = (0, 16000) and (x2,y2) = (10, 0).

In order to find the function of time, we need to find the rate at which robot rate depreciates each year.

Slope is the rate of change.

So, we need to find the slope of the two coordinates we wrote above.

We know, slope formula

Slope (m) = \frac{y2-y1}{x2-x1}

Plugging values in formula, we get

m=\frac{0-16000}{10-0} = \frac{-16000}{-10} = -1600.

Brecasue of depreciation we got a negative number for slope or rate of change.

Therefore, rate of depreciation is $1600 per year.

We already given inital cost, that is $16,000.

So, we can setup an a function

f(x) = -1600x + 16000.

But the problem is asked to take the variable t for time.

Replacing x by t, we get

f(t) = -1600t + 16000.

You might be interested in
How many Times can 20 be divided.
natali 33 [55]
20 can be divided by 2 twice, with 5 remaining

20 can be divided by 4 once, with 5 remaining

20 can be divided by 5 once, with 4 remaining

20 can be divided by 10 twice

20 can be divided by 20 once

hope this helps
6 0
3 years ago
BRAINLYIST AND 20 PTS!!! What is the surface area of this design? 360in 280in 76in 392in
guapka [62]

Answer:

392 I got that correct as well

3 0
2 years ago
Read 2 more answers
Can someone please help? i’ll mark brainliest!!
Liono4ka [1.6K]

Answer:

z+5 z+2 Z i think

Step-by-step explanation:

the lenght is longer to shorter

7 0
2 years ago
Read 2 more answers
I need help with 38,39 and 40 please!
kodGreya [7K]

Answer:

It's 37. B 38. B 39. C 40. A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
HELP IM BEING TIMED, ILL MARK BRAINLIEST.
Delicious77 [7]

Answer:

i think its b but im sorry if im wrong

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify the expression. Show your work. Help!!<br><br>(x + 6)2
    15·1 answer
  • Need help. what is 2÷6ft 8in
    8·1 answer
  • The diagonals of a parallelogram ABCD intersect at O.find ar(AOB),if ar(ABCD)is 44cm^2
    10·1 answer
  • The sum of two numbers is 83. If twice the larger number is added to three times the smaller number, the result is 197. Find the
    6·1 answer
  • What is the measure of interior angle ABC of the regular polygon shown?
    8·1 answer
  • 11.) Write each ratio as a fraction in simplest form. Then explain its meaning. 1 point
    5·1 answer
  • What is the distance between (-3, 4) and (-3, 10)?
    14·1 answer
  • 10. Lin says that a solution to the equation 2x – 6 = 7x must also be a solution to the
    14·1 answer
  • If the cost of 8 pizzas is $74, what is the cost per pizza? Use a proportion to solve.
    9·2 answers
  • Someone help please!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!