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mel-nik [20]
3 years ago
11

John began his job making $125 the first week. After that he ws paid $6.25 per hour. Write the equation in slope intercept form

to represent the situation.
Mathematics
2 answers:
Bas_tet [7]3 years ago
7 0

a)  y= 0.05x + 16

b)  y= 6.25x + 125

c)  y= 2x + 10

d)  y= 3x + 5

Answer: B) y = 6.25x + 125

dlinn [17]3 years ago
5 0

Answer:

y=6.25x+125

Step-by-step explanation:

Given that,

John began his job making $125 the first week. After that he was paid $6.25 per hour.

Here $125 is fixed and $6.25 increase per hour. It means we can write the equation as follows :

y = 125 + 6.25 x

The general equation for the slope-intercept form is given by :

y = mx+x

m is slope

So, the equation in slope intercept form is given by :

y=6.25x+125

Hence, this is the required solution.

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On a coordinate plane, a line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2
lapo4ka [179]

Answer:

maximum value of y = 3

Step-by-step explanation:

line Starts at -4 , 0   & turns at - 1 , 3

Slope = (3 - 0)/(-1 -(-4)) = 3/3 = 1

y = x + c

=> 0 = - 4 + c => c = 4

=> y = x + 4

line after turning crosses the y-axis at (0, 2) and the x-axis at (2, 0)

slope of this line :  (0-2)/(2-0) = -1

y = - x + c

2 = 0 + c => c = 2

=> y = - x + 2

=> y = 2 - x

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A family of 8 goes to the amusement park. Each ride at the park costs 1 ticket per person. If they all go on every ride together
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A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s
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The demand equation illustrates the price of an item and how it relates to the demand of the item.

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

From the question, we have:

Plates = 300

Price = 20

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}

The slope (m) is calculated using:

m = \frac{y_2 - y_1}{x_2 - x_1}

So, we have:

m = \frac{25-20}{290-300}

m = \frac{5}{-10}

m = -\frac{1}{2}

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

R(x) = (300 - 10x) \times (20 + 5x)

Open the brackets to calculate the maximum revenue

R(x) =6000 + 1500x - 200x - 50x^2

R(x) =6000 + 1300x - 50x^2

Equate to 0

6000 + 1300x - 50x^2 =0

Differentiate with respect to x

1300 - 100x =0

Collect like terms

100x =1300

Divide by 100

x =13

So, the price at maximum revenue is:

Price= 20 + 5x

Price= 20 + 5 * 13

Price= 85

In conclusion:

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

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Find the product of the complex numbers (-5+ 8i) and (3 - 8i)
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Answer: 49+64i

Step-by-step explanation:

Concept to know:

i=√-1

i²=-1

i³=-i

i^{4}=1

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 (-5+8i)(3-8i)

=-15+40i+24i-64i²

=-15+64i-64i²

=-15+64i+64  (remember, i²=-1)

=49+64i

Hope this helps!! :)

Please let me know if you have any question or need further explanation

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