160k views
3 votes
2) if y varies inversely with x find the constant of variation with x=5 and y=10

3) If y varies directly with x and y =35 when x=5 find x when y=7

4) If y varies directly with x and y =-12 when x=6 find x when y=-4

5) If y varies inversely with x and y and y=8 when x=10 find x when y=4

6) If y varies inversely with x and y and y=-5 when x=20 find x when y=-4

2 Answers

6 votes
Part 2) if y varies inversely with x find the constant of variation with x=5 and y=10

we know that
y=k/x
where
k is the constant of variation
x=5 and y=10

10=k/5----> k=50

the answer Part 2) is k=50

Part 3) If y varies directly with x and y =35 when x=5 find x when y=7
y=k*x
x=5 y=35
35=k*5----> k=35/5----> k=7
so
y=7*x
when y=7
7=7*x------> x=1

the answer Part 3) is x=1

Part
4) If y varies directly with x and y =-12 when x=6 find x when y=-4
y=k*x
x=6 y=-12
-12=k*6-------> k=-2
so
y=-2*x
when y=-4
-4=-2*x----> x=2

the answer part 4) is x=2

Part
5) If y varies inversely with x and y and y=8 when x=10 find x when y=4
y=k/x
x=10 y=8
8=k/10-----> k=80
so
y=80/x
when y=4
4=80/x----> x=80/4-----> x=20

the answer Part 5) is x=20

Part
6) If y varies inversely with x and y and y=-5 when x=20 find x when y=-4
y=k/x
x=20 y=-5
-5=k/20----> k=-100
so
y=-100/x
when y=-4
-4=-100/x----> x=100/4----> x=25

the answer Part 6) is x=25
User Mvelay
by
8.1k points
4 votes
2) if y varies inversely with x find the constant of variation with x=5 and y=10

k=xy=5x10=50

3) If y varies directly with x and y =35 when x=5 find x when y=7
y=1

4) If y varies directly with x and y =-12 when x=6 find x when y=-4
x=2

5) If y varies inversely with x and y and y=8 when x=10 find x when y=4
x=5

6) If y varies inversely with x and y and y=-5 when x=20 find x when y=-4
x=16
User Hasen
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories