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Komok [63]
1 year ago
8

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut

ion if x represents the number of days that a library book is late and y represents the total fee?
(–3, –0.90)
Mathematics
1 answer:
Rom4ik [11]1 year ago
5 0

Using a proportional relationship, the ordered pair that is a solution if x represents the number of days that a library book is late and y represents the total fee is:

(3, 0.9).

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, each day, the free is increased by $0.3, hence the constant is k = 0.3 and the function is:

y = 0.3x.

Then after three days, the total fee is:

y = 0.3 x 3 = 0.9.

And the ordered pair is:

(3, 0.9).

More can be learned about proportional relationships at brainly.com/question/28291848

#SPJ1

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The Taylor family went on vacation. They traveled 412 miles on Monday. At the end of the day Tuesday, the average speed of the c
mixer [17]

Answer:

d = 56x + 412

Step-by-step explanation:

To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.

y = mx+b where m is the speed or rate of change and b is the starting point.

The starting point on Tuesday is 412 miles. This is b.

The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled.  This is the slope or m.

So the equation is d = 56h + 412.

7 0
3 years ago
The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that just arrived. The boo
Burka [1]

Answer: The manager sold the book shelf at $235.2

Step-by-step explanation:

Since we have given that

Wholesale price of the book shelf = $147.00

But Gabriela's Furniture Store marks up all furniture by 60%.

So, Mark up value is given by

\frac{60}{100}\times 147\\\\=\frac{8820}{100}\\\\=\$88.2

So, the new price that the manager sold the book shelf is given by

147+88.2\\\\=\$235.2

Hence, the manager sold the book shelf at $235.2

4 0
3 years ago
Find the values of x and y in triangle ABCD
SVEN [57.7K]

Answer:

x and y = 66.5

Step-by-step explanation:

180-47=133

133/2=66.5

6 0
3 years ago
PLEASE HELP!!
ruslelena [56]

Answer: 104 miles

Step-by-step explanation:

If 2.5 in = 52 mi, and 2.5 × 2 = 5, then 2.5(2) = 52(2)

5 in = 104 mi

3 0
3 years ago
Which statement describes the end behavior of the exponential function f(x) = 2x – 3?
charle [14.2K]
The <u>correct answer</u> is:

As x→-∞, y→-3.
As x→∞, y→∞.

Explanation:

As our values of x get further into the negative numbers, the value of 2ˣ will approach 0.  This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.  

This will make the value of the function 0-3=-3.

As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well.  Since it continues to grow exponentially, we say the value approaches ∞.
3 0
3 years ago
Read 2 more answers
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