I was having trouble solving #25 of this packet. Can you help?
1 answer:
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Answer:
It means the Judy's rate to complete the puzzle is
Step-by-step explanation:
If Judy completes a puzzle by herself, it takes her 3 hours.
Working with Sal, it only takes them 2 hours
We have been given the rates of time taken by Judy and Sal to complete a puzzle.
We can see from our given table that Sal's rate is r. We are told that Judy completes a puzzle by herself, it takes her 3 hours. working with Sal, it only takes them 2 hours.
It is given that Judy completes a puzzle by herself, it takes her 3 hours.
so part of puzzle completed by Judy in one hour would be
Therefore, the part of puzzle completed by Judy in one hour is
Ok so we'll go ahead and solve for y first - we just need to get it alone on one side of the equal sign
Step 1: subtract 2x from each side
2x - 7y - 2x = 19 - 2x
This cancels out the 2x on the left, giving us
-7y = 19 - 2x
Step 2: divide both sides by -7
=
+
This gives us
y = -19/7 + 2x/7
That should be your answer for the first question. Now solving the next parts are easy. All you need to do is plug in x.
When x = -3
y = -19/7 + 2x/7
y = -19/7 + 2(-3)/7
y = -19/7 - 6/7
y = -25/7
When x = 0
y = -19/7 + 2x/7
y = -19/7 + 2(0)/7
y = -19/7
When x = 3
y = -19/7 + 2x/7
y = -19/7 + 2(3)/7
y = -19/7 + 6/7
y = -13/7
Hope that helps! Feel free to ask if I can help with anything else :)