STUCK on these Algebra problems!

Question

Someone please help, I keep getting the wrong answers! Thank you so much!

1. The variable Z is inversely proportional to X. When X is 3, Z has the value 6.

What is the value of Z when X = 12



Round to at least the thousandths place if needed.

 

2.On a particular day, the wind added 5 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 5 miles per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 60 miles with the wind, he could go only 30 miles against the wind.What is his normal bicycling speed with no wind?

Answer 1

Dear Kennedy,

     Inversely proportional means that as one increases or decreases, the other variable does the opposite.

 

Here is the inverse proportional formula:   Z=K/X .    Now, find "K" first.

 

 

 

6=K/3       Multiply both sides by 3/1.

 

 

18=K    Now, the equation is  Z=18/X.

 

 

 

Question:  What is the value of "Z" when X=12?   Again, use substitution.

 

 

Z=K/X         Z=18/12=          Just write the answer in lowest terms, and you're done.

 

If I helped you, please give me a thumbs up.

 

                                                        Susan C.