Y varies directly as X. When Y is 10, X is 15. Find Y, when X is 32.
a. Can not be determined
b. When X is 32 then Y = 165
c. When X = 32 then Y is; 21 1/3
d. When X is 32 then Y = 5
y = k x
10 = k (15)
k = 10/15
so
y = 10 x/15
y = 320/15 = 64/3 = 21 1/3
20celsius= fahrenheit
To find the value of Y when X is 32, we need to use the direct variation formula. The formula for direct variation is Y = kX, where k is the constant of variation.
First, we need to find the value of k by using the given information. We are told that when Y is 10, X is 15. We can substitute these values into the formula and solve for k:
10 = k * 15
Simplifying the equation:
10/15 = k
k = 2/3
Now that we have the value of k, we can use the formula to find Y when X is 32:
Y = (2/3) * 32
Calculating this expression:
Y = 21 1/3
Therefore, the answer is c. When X is 32, Y is 21 1/3.