Complete question :
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
A. 28 + 65H < 250
B. 28 + 65H > 250
C. 65 + 28H < 250
D. 65 +28H > 250
2) What is the largest whole number of hours that Anand can afford?
Answer:
65 + 28H < 250
Number of hours Anand can afford = 6 hours
Step-by-step explanation:
Given the following information :
Initial hourly rate = $65
Hourly rate = $28
Number of hours worked (whole number) = H
Maximum budgeted amount to spend = $250
Therefore ;
(Initial charge + total charge in hours) should not be more than $250
$65 + ($28*H) < $250
65 + 28H < 250
Number of hours Anand can afford :
65 + 28H < 250
28H < 250 - 65
28H < 185
H < (185 / 28)
H < 6.61
Sinve H is a whole number, the number of hours he can afford is 6 hours
Using the graph and function concepts, it is found that:
a) The domain is ![[-5,4]](https://tex.z-dn.net/?f=%5B-5%2C4%5D)
, while the range is ![[-2,-5]](https://tex.z-dn.net/?f=%5B-2%2C-5%5D)
b) The function is increasing in ![[0,1]](https://tex.z-dn.net/?f=%5B0%2C1%5D)
and ![[2,3]](https://tex.z-dn.net/?f=%5B2%2C3%5D)
, and decreasing ![[-5,0], [1,2]](https://tex.z-dn.net/?f=%5B-5%2C0%5D%2C%20%5B1%2C2%5D)
, and ![[3,4]](https://tex.z-dn.net/?f=%5B3%2C4%5D)
.
--------------------
- The domain of a function is given by it's input values, that is, the values of x, the horizontal axis on the <em>graph</em>.
- The range of a function is given by it's output values, that is, the values of y, the vertical axis on the <em>graph</em>.
- If the <em>graph </em>is pointing upwards, the function increases.
- If the <em>graph </em>is pointing downwards, the function decreases.
--------------------
Item a:
- On the graph, the x-values are from -5 to 4, thus the domain is:
- The y-values are from -2 to -5, thus, the range is:
--------------------
Item b:
- On the graph, it is pointing upwards on the following intervals, for x-values: From 0 to 1, and from 2 to 3, thus, the function is increasing in and .
- On the other intervals, , and , the function is decreasing.
A similar problem is given at brainly.com/question/10891721
The answer is 5 because it goes from coordenate -5 to 5 this mean that your diameter is 10 so the radios is half that is 5
