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Anvisha [2.4K]
3 years ago
15

A sales person is paid a weekly salary of $760, plus a commission of 7.5% of all her sales for the week. Express her weekly inco

me in terms of the weekly sales amount. Is this a function? How do you know? What is an appropriate domain?
Mathematics
1 answer:
Elis [28]3 years ago
6 0

Answer:

1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.

So, if we say that y is her weekly income and x is her weekly sales, we can write this as:

y = 760 + 0.075x

Note that we had to change percentage to decimal number dividing it by 100.

2  Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.

Since this is a function, it can also be written as:

f(x) = 760 + 0.075x

3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).

All this means that appropriate domain for this function are positive real numbers including 0.

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almond37 [142]

Answer:

B)  \sqrt{30}  - 3 \sqrt{2}  +  \sqrt{55}  -  \sqrt{33}  \div 2

Step-by-step explanation:

Step 1: First we have to get rid off the roots in the denominator.

To do that, we have to multiply the numerator and the denominator by the conjugate of √5 + √3.

The conjugate of √5 + √3 is √5 - √3.

Now multiply given expression with √5 - √3

(√6 + √11)     (√5 - √3)

------------- x   -----------

(√5 + √3)        (√5 - √3)

Step 2: Multiply the numerators and the denominators.

√6√5 - √6√3 +√11√5 -√11√3

------------------------------------------

(√5)^2 - (√3)^2

Now let's simplify to get the answer.

√30-√18 +√55 - √33

-----------------------------

5 - 3

= √30 -3√2 +√55                                     [√18 = √9√2 = 3√2]

--------------------------

2      

The answer is  \sqrt{30}  - 3 \sqrt{2}  +  \sqrt{55}  -  \sqrt{33}  \div 2


Thank you.

4 0
3 years ago
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sam makes some bread rolls. He gives 2/5 of the bread rolls to his neighbor and 4/9 of the remainder to his cousin. He has fifte
FinnZ [79.3K]
 <span>Neighbor: 2/5(x) </span>
<span>Remainder = x - 2/5(x) = 3/5(x) </span>
<span>Cousin = 4/9 * 3/5(x) = 4/15(x) </span>

<span>x - 2/5(x) - 4/15(x) = 15 </span>
<span>x - 6/15(x) - 4/15(x) = 15 </span>
<span>x - 10/15(x) = 15 </span>
<span>(15x - 10x) = 225 </span>
<span>5x = 225 </span>
<span>x = 225/5 = 45 </span>

<span>Therefore, he made 45 rolls</span>
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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