Annie needs $30 to buy a coat. She has saved $12 and plans to work as a babysitter to earn $6 per hour. Which inequality shows t
2 answers:
Answer:
(B)12 + 6n ≥ 30, so n ≥ 3
Step-by-step explanation:
Annie already has $12
Let n be the number of hours she needs to work
If she earns $6 per hour
Her Income in n hours = $6 X n =$6n
Total Amount Annie has = 12 + 6n
Since she needs $30 to buy a coat, her total income must not be less than $30.
Therefore:
is the inequality which shows minimum number of hours, n, that Annie should work as a babysitter to earn enough.
Next, we solve for n.
Divide both sides by 6
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Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.
