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myrzilka [38]
3 years ago
8

2

Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0

Answer:

<em>x + y ≤ 40</em>

<em>10x + 12 y ≥ 400</em>

<em>x ≥ 0</em>

<em>y ≥ 0</em>

Step-by-step explanation:

<u>System of Inequalities</u>

In order to model the situation stated in the problem, we'll call the following variables:

x = number of hours Sarah spends in the office

y = number of hours Sarah spends babysitting

She works for a maximum of 40 hours per week. This condition leads us to the inequality:

x + y ≤ 40

Her office job pays $12 per hour and her babysitting job pays $10 per hour.

She needs to make at least $400 per week in order to cover her expenses, thus:

10x + 12 y ≥ 400

Two obvious conditions could be added to the set of inequalities:

x ≥ 0

y ≥ 0

The system of inequalities is:

x + y ≤ 40

10x + 12 y ≥ 400

x ≥ 0

y ≥ 0

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(WORTH 20 POINTS)
tresset_1 [31]
So the function is
f(x)=3( \frac{1}{3})^{ x }
the intial value is where x=0
where x=0, the value of f(0)=3

grouth is 1/3 but it is decay, so it might be correct, or not because it is decay
it is exponential decay
true it is a stretch of the funciton f(x)=(1/3)^x
when x=3, then f(3)=1/9


the true things are

The function shows exponential decay.
The function is a stretch of the function f(x) = (1/3)x .



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