When p = 12, t= 2, and s = 5. r = 18. If r varies directly with p and inversely with the product of s and t, what is the constant of variation? O col 1 2 O O 18

Constant of variation is: 15

Step-by-step explanation:

r varies directly with p and inversely with the product of s and t

It can be written as:

r ∝ p/st

When the proportionality symbol is removed, a constant is introduced which is called constant of variation

So

Putting p = 12, t= 2, and s = 5 and r = 18

Hence,

Constant of variation is: 15

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!