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balu736 [363]
4 years ago
5

Assume r varies jointly with x and y. If r=15 when x=3 and y=4. Find r when x=16 and y =1.25

Mathematics
1 answer:
natali 33 [55]4 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

given that r varies jointly with x and y then the equation relating them is

r = kxy ← k is the constant of variation

To find k use the condition r = 15 when x = 3 and y = 4

k = \frac{r}{xy} = \frac{15}{12} = 1.25

r = 1.25xy ← equation of variation

When x = 16 and y = 1.25, then

r = 1.25 × 16 × 1.25 = 25

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