Question

The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are used in the circuit, 12 amperes of current are present. When 5 ohms of resistance are used in the same circuit, 24 amperes of current are present.

How many ohms of resistance are used in the circuit when 15 amperes of current are present? Round your answer to the nearest tenth, if necessary.

7.5 ohms
8 ohms
50 ohms
120 ohms

Answer 1

(b) 8 ohms

Step-by-step explanation:

We are told that y varies inversely to x, so the relation can be modeled by ...

y = k/x

The value of k is ...

k = xy = (12)(10) = 120

Then for x=15, the resistance is ...

y = 120/15 = 8 . . . . ohms

Answer 2

9514 1404 393

Answer:

(b) 8 ohms

Explanation:

We are told that y varies inversely to x, so the relation can be modeled by ...

y = k/x

The value of k is ...

k = xy = (12)(10) = 120

Then for x=15, the resistance is ...

y = 120/15 = 8 . . . . ohms