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Tems11 [23]
4 years ago
10

you are asked to work on a project for a company.the company offers to pay you with two different plans.first plan is to pay you

450 per week.second plan is an hourly wage of $10.both plans come with a $200 bonus and a 40 hour work week fir a month. the monthly business cycle is 4 weeks. write linear equations to represent each pay plan
Mathematics
1 answer:
Nostrana [21]4 years ago
4 0

Answer:

S₁ = 450 × 4 + 200

S₂ = 40 × 40 + 200

Step-by-step explanation:

In the first plan I will be paid $450 per week plus a $200 monthly bonus.

Therefore, the monthly salary is given by S₁ = 450 × 4 + 200 ...... (1)

{Since, the monthly business cycle is 4 weeks}

Now, in the second plan I will be paid an hourly wage of $10 with a monthly bonus of $200.

If I work x hours per week, then monthly salary will be given by  

S₂ = 4x(10) + 200 = 40x + 200 and a condition is that x = 40.

Therefore, S₂ = 40 × 40 + 200 ....... (2)

So, equations (1) and (2) are the required linear equations. (Answer)

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MrRa [10]

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4 Blue chips

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3 years ago
01.05 what is the slope intercept form equation of the line that's passing through (1,3) and (3,7)
Butoxors [25]

Hello!

To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

The slope formula is: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. To use this formula, you need two points and also, you need to assign these points to x_{1}, x_{2}, y_{1}, and y_{2}.

In this case, x_{1} and x_{1} is assigned to the ordered pair (1,3), while x_{2} and y_{2} is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

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The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

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The y-intercept of the two points is (0, 1).

With the necessary values to complete the equation, we can write the final equation.

The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.

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kumpel [21]
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If x=3
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If x=4
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