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Delvig [45]
3 years ago
13

Jared earns 0.25 vacation days for every week that he works in a calender year. He also gets 10 paid company holidays per year.

Write a verbal model and an algebraic expression to represent the amount of time he gets off work in a year after working for w weeks and identify the units for the expression.
Mathematics
1 answer:
Papessa [141]3 years ago
3 0

The amount of vacation hours he has can be modeled with the equation V = .25w + 10, in which V is equal to vacation days and d is equal to the number of weeks he worked.

We can tell this because he gets 10 days off no matter what. This is called a constant and is always added to the end of the equation.

We can also tell this because the number of weeks he worked gets multiplied by a quarter of a day. Therefore, he gets a vacation day for every 4 weeks he works.

This model will successfully tell you how many he has at the end of the year.

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Not a clue please help
USPshnik [31]
Since the "size in square feet" is on the X-axis it is represented by the X in the equation. And Y is expected property tax

It is giving you a X-value of 3100. So you just have to plug 3100 into the X spot and solve for Y

y=.392(3100)+638.118
y=1853.318

So the third answer.
8 0
3 years ago
Customers can pick their own apples at well orchards. They pay $6 to enter the orchard and $2 per pound for the apples they pick
Anvisha [2.4K]
Y=6+2x

Since y equals the total cost, it will be on its own in the equation. 6 dollars is a set amount, meaning that no matter how many apples they pick it’ll stay the same. HOWEVER, the cost will change depending on how many pound of apples they get

Every pound of apples is equal to 2 dollars, and since x stands for pounds of apples, it’ll be ( ex: x = 2, so 2x = 2(2) = 4)

So the equation will be y = 6 + 2x

I hope this helps
6 0
3 years ago
Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box
anastassius [24]
F(x) = (1/2)x + 4
Plug y in for f(x).
y = (1/2)x + 4
Swap x and y.
x = (1/2)y + 4
Solve the equation for y =.
Subtract 4 from both sides.
x - 4 = (1/2)y
Multiply each term 2.
2x - 8 = y
Plug f^-1(x) in for y.
f^-1(x) = 2x - 8

f^-1(4) = 2(4) - 8
f^-1(4) = 0
3 0
3 years ago
In January 2011 the rate of a VAT increased from 17.5% to 20% Work out the difference in price of a car worth £15000 + VAT due t
Jobisdone [24]

Answer:

  £375

Step-by-step explanation:

The tax changed from 17.5% of the car's price to 20% of the car's price, an increase of 2.5% of the car's price.

The increased tax amount is ...

  0.025 × £15000 = £375

The price of the car went up by £375 due to the increase in VAT.

3 0
3 years ago
The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers
gizmo_the_mogwai [7]

Yes. The situation is defined by a linear function.

<u>Solution:</u>

Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.  

Is this situation defined by a linear function?

Yes, the above given situation is defined by a linear function.

Now, let us see the linear equation for above situation

Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"

Then, total salary is given as,

Total salary = $ 30 bonus + number of hours worked \times cost per hour

\rightarrow \mathrm{y}=30+\mathrm{x} \times \mathrm{c}\\\\ \rightarrow \mathrm{y}=\mathrm{c} \mathrm{x}+30

Above equation is a linear equation as "c" is constant ( cost per hour )

Hence, the given situation can be defined by linear function.

5 0
3 years ago
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