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Sergeu [11.5K]
3 years ago
12

Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=40\ \$/h\\b=\$25

substitute

y=40x+25

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

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0.72 or the first option. Hope this helps.
8 0
3 years ago
Eighty-eight percent of all people who try to do this ratio and proportion
Inessa [10]

Answer: 61 people have worked on this worksheet so far.

Step-by-step explanation:

Given: 80% people try to do this ratio and proportion  worksheet find they need some help with the problems.

Let x be the total number of people worked on this worksheet so far.

People need some help with the problems. =80% of x = 0.80x

As per given,

0.80x=49

\Rightarrow x=61.25\approx61

Hence, 61 people have worked on this worksheet so far.

8 0
3 years ago
Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?
iren [92.7K]

Answer:

<u>44 fluid ounces</u> of lemonade are left.

Step-by-step explanation:

Given:

Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = 9\frac{1}{2}\ cups.

As, 1 cup = 8 fluid ounces.

So, by conversion factor:

9\frac{1}{2} \times 8

=\frac{19}{2} \times 8

=9.5\times 8=76\ fl.\ oz.

<em>Thus, Tate fill the container of lemonade with = 76 fl. oz.</em>

<em>Tate drinks lemonade = 32 fl. oz.</em>

Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

76-32

=44\ fl.\ oz.

Therefore, 44 fluid ounces of lemonade are left.

3 0
3 years ago
Solve: x=4+(4x-4)1/2 x = 2
Andreyy89

Answer:

No real solution- Not any of the options anyway

Step-by-step explanation:

So I replaced the x's with the two possible equations and then tried to solve...

2=4+(4x2-4)1/2

2=4+(8-4)1/2

2=4+(4)1/2

2=8(1/2)

2=4   Which is not true

10=4+(4x10-4)1/2

10=4+(40-4)1/2

10=4+36(1/2)

10=40(1/2)

10=20 Which is also not true

Therefore, there is no real solution

6 0
3 years ago
The cost of a pen is 3 times the cost of a pencil and cost of a
valentinak56 [21]

Answer:

1 Pen cost $2.25

Step-by-step explanation:

Assume:

Cost of Pen = a

Cost of pencil = b

Cost of notebook = c

a = 3b   -------------------(1)

c = 4a   -------------------(2)

2a + 6b + c = $18 -----(3)

From equation (1), b = a ÷ 3 ---------(4)

Substitute equations (2) and (4) in equation (3)

2a + 6 * (a ÷ 3) + 4a = $18

2a + 2a + 4a = $18

8a = $18

a = $2.25

Therefore, 1 Pen cost $2.25

6 0
3 years ago
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