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Ivanshal [37]
3 years ago
10

Rafael earns $10.50 per hour helping his neighbor with their chores. He is curious how much money he will earn depending on the

number of hours he works. Write an equation that describes the situation. Use x to represent the independent variable and y to represent the dependent variable.
PLZ HELP
Mathematics
2 answers:
dalvyx [7]3 years ago
8 0
Okay so he earns 10:50 per hour so there 24 hours in a day you can times 10:50 and 24 hope this helps
BartSMP [9]3 years ago
6 0

Answer: y=10.50x

Step-by-step explanation:

The y in this equation represents the dependent varible which is our output what we are solving for. We know that Rafeal gets $10.50 per hour but we don't know how many hours he works so to represent the time we use the variable x. If we were to solve this we would take the hours that he worked and multiplied the number of hours by $10.50 to get y the cost which he earns.

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Select all the correct answers.
amid [387]

Answer:

It costs $15 a month to play the video game.

The initial cost is $45.

The y-variable represents the cost in dollars.

The x-variable represents the number of months.

Step-by-step explanation:

If you break the function down, you're going to have:

<u>Total = Monthly Cost + Initial Cost</u>

In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:

  • 15 for the first month (x = 1)
  • 30 for the second month (x = 2)
  • 45 for the third month (x = 3), and so on

Our initial cost is always going to be a set amount, thus our constant, $45.

This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.

Hope this helps!

6 0
3 years ago
Read 2 more answers
a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the lar
Scorpion4ik [409]

Answer:

The area of larger table is 24 square feet.

Step-by-step explanation:

Given are the length and width of small table

l_s = 2\ ft\\w_s = 3\ ft

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table

So the length and width of larger table will be:

l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet

The area of larger table will be:

A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2

Hence,

The area of larger table is 24 square feet.

7 0
3 years ago
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by: P(x)=-12x^2 +12
Minchanka [31]

Given:

The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

P(x)=-12x^2+120x

To find:

The current that will produce the maximum power.

Solution:

We have,

P(x)=-12x^2+120x

Here, leading coefficient is negative. So, it is a downward parabola.

Vertex of a downward parabola is the point of maxima.

If a parabola is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

In the given function, a=-12 and b=120. So,

-\dfrac{b}{2a}=-\dfrac{120}{2(-12)}

-\dfrac{b}{2a}=-\dfrac{120}{-24}

-\dfrac{b}{2a}=5

Putting x=5 in the given function, we get

P(5)=-12(5)^2+120(5)

P(5)=-12(25)+600

P(5)=-300+600

P(5)=300

Therefore, 5 watt current will produce the maximum power of 300 amperes.

6 0
3 years ago
PLS HELP ILL GIVE BRAINLY<br><br> Do the graphs below represent a function? Explain.
Allisa [31]

Answer:

no

Step-by-step explanation:

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5 0
3 years ago
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The value of y varies directly with x. When y=2 4/7, x=3/7 .
jasenka [17]

Answer:

1 5/7

Step-by-step explanation:

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6 0
4 years ago
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