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denis23 [38]
3 years ago
5

A furniture rental company charges a fixed amount plus a fee based on the number of days for which the furniture is rented. The

graph below shows the amount paid for a different number of days to rent the furniture: A graph titled Furniture Rentals plots the Number of Days on the x axis and the Amount in dollars on the y axis. A straight line joins the ordered pairs 0, 80 and 4, 240. What is the fixed amount charged? $20 $40 $60 $80
Mathematics
2 answers:
baherus [9]3 years ago
7 0
The fixed amount is the amount charged for 0 days' rental. The ordered pair (0, 80) tells you it is $80.
kvv77 [185]3 years ago
7 0

Answer:

The fixed amount that is charged is:

                     $ 80

Step-by-step explanation:

We are given a straight line joins the ordered pairs (0,80) and (4,240).

We know that  the equation of a line passing through two points (a,b) and (c,d) is calculated by:

              y-b=\dfrac{d-b}{c-a}\times (x-a)

Here we have:

       (a,b)=(0,80) and (c,d)=(4,240)

Hence, the equation of line is:

y-80=\dfrac{240-80}{4-0}\times (x-0)\\\\\\y-80=\dfrac{160}{4}\times x\\\\\\y-80=40x\\\\y=40x+80

Hence, the fixed charge is the initial charge i.e. when the number of days i.e. x value is zero.

Hence, when x=0 we have:

          y=80

       Hence, the fixed charge is:  80

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three points are plotted in the coordinate plane which table of X and Y values corresponds to these points​
weeeeeb [17]

Answer:

Where is the table?

Step-by-step explanation:

4 0
2 years ago
A student concluded that the solution to the equation sqrt2x+1 +3=0 is x=4. Do you agree? Why or why not?
Katyanochek1 [597]

Just put 4 as x in the equation and solve it. The new equation is:

sqrt(2*4)+1+3 = 0

Now we can solve it.

sqrt(2*4) becomes sqrt8:

sqrt8+1+3=0. -------> sqrt8+4=0

The sqrt of 8 is about 2.83.. so 2.83+4 is:

6.83

So we have 6.83 as the answer

but 6.83 does not equal 0 so x cannot equal 4

5 0
3 years ago
When the sum of an unknown number and twenty two is divided by the unknown number, the quotient is 12. What is the unknown numbe
Gnom [1K]
You would basically work backwards and do inverse operations




12
24*
__
288



288/24= 12
8 0
3 years ago
(PLEASE HELP) The table below - does it represent an exponential function?
Aliun [14]
Short answer: I don't know, but that doesn't mean I can't give you something that you can decide for yourself.
y = 4*2^(2n - 2) is the pattern.
Go for broke. Try n = 4. You should get 256. Let's try it.
y = 4 * 2^(2*4 - 2)
y = 4 * 2^(8 - 2)
y = 4 * 2^6
y = 4 * 64
y = 256 yup it works.

The other end is just as important. Suppose n = 1
Then y = 4 * 2^(2*1 - 2) = 4 * 2^0 = 4*1 = 4 Both work.

If this formula is correct, we can abbreviate it to make your task easier.
y = 4 * 2^(2n - 2)
y = 2^2 * 2^(2n - 2)
y = 2^(2n - 2 + 2)
y = 2^(2n) Now try the two end points again.

n = 4
y = 2^(2*4)
y  =  2^8
y = 256

n = 1
y = 2^(2*1)
y = 2^2
y = 4 which again checks.

so y = 2^(2n) I think is an exponential function.
Sorry my explanation is so long.

6 0
3 years ago
Find the total surface area of this square based
MrRissso [65]

Answer:

300ft^2

Step-by-step explanation:

Total surface area = Area of base + (1/2) x perimeter of base x slant height

Area of base = length² = 10 x 10 = 100

Perimeter of base = 2 ( length + breadth)

2 x 20 = 40

slant height = 10

100 + (1/2) x 40 x 10 = 300 ft^2

7 0
3 years ago
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