Shontell spends $7 a month plus $0.10 per minute. Determine whether the cost per month is proportional to the to the number of m
inutes by graphing on the coordinate plane
2 answers:
Answer:
Not proportional
Step-by-step explanation:
Shontell spends $7 a month plus $0.10 per minute.
Let Shontell uses x number of minutes and total $y
Fixed amount = $7
Variable amount = $0.10 per minutes
In 1 minutes spends = 0.10
In x minutes = 0.10x
Total spends in a month, y = 7 + 0.10x
This is linear function not proportional equation.
Proportional equation, y=kx equation must passes through origin.
So, This is not situation of proportional equation. This is linear equation.
Now graph on coordinate plane
- x-axis represents number of minutes uses in a month.
- y-axis represents total cost spends in a month
Please find attachment for graph.
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Now completing the square.
(x+5)² = 16 is the rewritten equation... For first question btw.
For the solutions to the equation -
x = -1,-9 is the solution, for the second question.
Initial salary = $50,000 .
Rate of raise = 5% each year.
Therefore, each next year salary would be 105% that is 1.05 times.
5% of 50,000 = 0.05 × 50000 = 2500.
Therefore raise is $2500 each year.
According to geometric sequence first term 50000 and common ratio 1.05.
Applying geometric sequence formula
1)
2) In order to find salary in 5 years we need to plug n=5, we get
= 50000(1.21550625)
<h3>=$60775.3125.</h3>3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.
Plugging n=10, a = 50000 and r= 1.05.
= 628894.62678.
<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>