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RUDIKE [14]
2 years ago
12

The price of a community pool membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function

y = 20x + 50, where x is the number of months.
What is the slope, and what does it represent? (1 point)


1. 20; it represents the monthly fee
2. 20; it represents the one-time sign-up fee
3.50; it represents the monthly fee
4. 50; it represents the one-time sign-up fee
Mathematics
1 answer:
Misha Larkins [42]2 years ago
8 0
Your answer is option 1.
You might be interested in
Shopping at Savers Mart, Lisa buys her children 4 shirts and 3 pairs of pants for $85.50. She returns the next day and buys 3 sh
maria [59]

Answer:

price for one shirt

=

$

7.50

price for one pair of pants

=

$

18.50

Explanation:

Start by letting variables

x

and

y

represent the pieces of clothing from the problem.

Let

x

be the price of one shirt.

Let

y

be the price of one pair of pants.

Equation

1

:

4

x

+

3

y

=

85.50

Equation

2

:

3

x

+

5

y

=

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

y

, the price of each pair of pants.

To isolate for

y

, we must eliminate

x

. We can do this by making the two equations have the same

x

values. First, we find the LCM of

4

and

3

, which is

12

. Next, multiply equation

1

by

3

and equation

2

by

4

so that

4

x

and

3

x

becomes

12

x

in both equations.

Equation

1

:

4

x

+

3

y

=

85.50

3

(

4

x

+

3

y

)

=

3

(

85.50

)

12

x

+

9

y

=

256.50

Equation

2

:

3

x

+

5

y

=

115.00

4

(

3

x

+

5

y

)

=

4

(

115.00

)

12

x

+

20

y

=

460.00

Now that we have two equations with

12

x

, we can subtract equation

2

from equation

1

to solve for

y

.

12

x

+

9

y

=

256.50

12

x

+

20

y

=

460.00

−

11

y

=

−

203.50

y

=

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

$

18.50

, we can substitute this value into either equation

1

or

2

to find price for one shirt. In this case, we will choose equation

1

.

4

x

+

3

y

=

85.50

4

x

+

3

(

18.50

)

=

85.50

4

x

+

55.5

=

85.50

4

x

=

28

x

=

7.50

⇒

price for one shirt

∴

, the price for one shirt is

$

7.50

and the price for one pair of pants is

$

18.50

.

Step-by-step explanation:

yea

5 0
2 years ago
Evaluate the following expression when x=-4 and y=4<br> x³-x /4y<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D" id="Tex
Simora [160]

Answer: - 60

Step-by-step explanation:

\frac{(-4)^3 - (-4)}{4(4)^-4/4} \\\\= -60

7 0
2 years ago
ACTIVITY 2 (19) Mr Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the fol
seraphim [82]

The sum of the lengths of three sides of the rectangle, gives the length

of the fencing, while one third of the rectangle area is for the pavement.

Responses:

Project A: The formula for the length of the fencing is, L = 4·x - 1

Project B: Length of the fancy wall = 2·x + 1

Project \ C:Area \ of \ the \ paving = \underline{ \dfrac{2\cdot x^2 }{3} - \dfrac{x }{3}  - \dfrac{1}{3}}

<h3>Which method can be used to find the length and area of paving from the given equations?</h3>

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Given parameters are;

Length of the rectangular plot = 2·x + 1

Width of the rectangular plot = x - 1

Vertices of the rectangular plot are; QPSR

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Which gives;

SP = QR = x - 1

The length of the fencing, L = SP + PQ + QR = x - 1 + 2·x + 1 + x - 1 = 4·x - 1

  • The formula for the length of the fencing is, L =<u> 4·x - 1</u>

Project B: The front side is SR

Therefore;

  • Length of the fancy wall = <u>2·x + 1</u>

Project C:

Area, A = Length × Width

Area of the plot, A = (2·x + 1) × (x - 1) = 2·x² - x - 1

  • Area \ of \ the \ paving = \dfrac{1}{3} \times \left(2 \cdot x^2 - x - 1\right) = \underline{ \dfrac{2\cdot x^2 }{3} - \dfrac{x }{3}  - \dfrac{1}{3}}

Learn more about writing equations here:

brainly.com/question/24760633

6 0
2 years ago
Plz help me with this q
marin [14]

Answer:

lenght is 6

Step-by-step explanation:

i think so

HOPE IT HELPS!!!

7 0
2 years ago
Read 2 more answers
What is 9 1\8 + 9 3\8​
Murljashka [212]

Answer:

18.5 or 18 1/2

Step-by-step explanation:

9 plus 9 is 18. 1/8 plus 3/8 is 4/8 or 1/2. so 18 1/2

7 0
2 years ago
Read 2 more answers
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