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daser333 [38]
3 years ago
9

tyler needs at least $205 for a new video game system. he has already saved $30. he earns $7 an hour at his job. write and solve

an inequality to find how many hours he will need to work to buy the system. interpret the solution.
Mathematics
2 answers:
goldenfox [79]3 years ago
8 0
7x + 30 = 205
- 30 -30
7x = 175
x = 25
Tyler will have to work 25 hours to buy the system.
MariettaO [177]3 years ago
5 0
Let, the number of hours = x
Then, Inequality would be: 30 + 7x = 205
7x = 205 - 30
7x = 175
x = 175/7
x = 25

In short, Your Answer would be 25 hours

Hope this helps!
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The correct answer is f(n) = f(n − 1) + 4

Step-by-step explanation:

Let us consider the sequence: 4, 8, 12, …

Using f(n) = f(n − 1) + 4, we can easily get the sequence.

As the first term is 4 and next term is obtained by adding 4 to the first term.

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     12+4 = 16  and so on.

Since the next term is obtained by adding 4 to the previous term.

<em>So, f(n) = f(n-1) + 4 would be the correct recursive formula for the function of the sequence 4, 8, 12, .... </em>

<em>Verification: </em>

<em>                 f(n) = f(n-1) + 4</em>

Putting n=2 in f(n) = f(n-1) + 4 to get the second term of the sequence.

<em>                f(2) = f(2-1) + 4</em>

<em>                f(2) = f(1) + 4</em>

<em>                f(2) = 4 + 4</em>

<em>                f(2) = 8</em>

Putting n=3 in f(n) = f(n-1) + 4 to get the third term of the sequence.

<em>                 f(3) = f(3-1) + 4</em>

<em>                 f(3) = f(2) + 4</em>

<em>So, adding 4 in f(2)=8 would give us the next term i.e. 12</em>

<em>                f(3) = 8 + 4</em>

<em>                 f(3) = 12</em>

<em />

Keywords: recursive formula, sequence

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