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vaieri [72.5K]
1 year ago
5

An electrician charges a set fee for every house call and then charges an hourly ratedepending on how long the job takes. The to

tal cost of the electrician's services can bedetermined using the equation C = 65 + 60t, where t is the number of hours theelectrician spends at the house working. What is the slope of the equation and what isits interpretation in the context of the problem?

Mathematics
1 answer:
Luda [366]1 year ago
8 0

We have the equation:

C(t)=65+60t

Given the slope-intercept formula for the equation of the line, we have the following:

\begin{gathered} y=mx+b \\ m\colon\text{ slope} \\ If\text{ C=65+60t} \\ \Rightarrow slope\text{ = 60} \end{gathered}

Now, since we have that t is the number of hours the electrician spends working, the slope of the function represents the hourly rate charged.

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vredina [299]
It is 2.2 that’s the difference
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2 years ago
Line k contains the points (-4,0) and (3,2). line m contains the points (-3,2) and (4,0). if line k is written in the form y=m1x
Misha Larkins [42]

Answer:

0

Step-by-step explanation:

(-4,0) and (3,2)

m1=(2-0)/(3+4)=2/7

y=2/7x+b1, using point (-4,0) to find b1 (substitute x=-4 and y=0 in the form)

0=2/7*(-4)+b1 ⇒ b1= 8/7

-----

(-3,2) and (4,0)

m2=(0-2)/(4+3)= -2/7

y= -2/7x+b2, using point (4,0) to find b2 (substitute x=4 and y=0 in the form)

0= -2/7*4+b2 ⇒ b2=8/7

----

m1b2+m2b1= 2/7*8/7 -2/7*8/7=0

7 0
3 years ago
A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?
rodikova [14]

Answer:

Step-by-step explanation:

The continuous compound formula is

y=Pe^{rt where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09

which would probably round to just 3848 people.

8 0
3 years ago
training for a cycle race in the first week if I was 195 miles in the second we can manage is 243 Miles what is the percentage i
Ivahew [28]

Answer:

24.61%

Step-by-step explanation:

The distance covered in first week = 195 miles

The distance covered in the second week = 243 miles

We need to find the percentage increase in distance​. It can be calculated as follows :

\%=\dfrac{243-195}{195}\times 100\\\\=24.61\%

So, the increase in distance is equal to 24.61%.

4 0
3 years ago
Suppose you go to a company that pays 0.05 for the first day, 0.1 for the second day, 0.2 for the third day and so on. If the da
tekilochka [14]

Answer:

I think the correct answer is $26,843,545.6

Step-by-step explanation:

5 0
3 years ago
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