(a) If y varies directly as x, and y=24 when x=16, find y when x=12. (b) In a formula, z varies inversely as P. If Z is 200 when P is 4, find z when P is 10.

(a) 18

(b) 80

Step-by-step explanation:

(a) let y=kx

so, 24=16k

or, k=24/16 or, k=3/2

now, putting x=12

y=kx

or, y=(3/2)×12

or, y=3×12/2

or, y=36/2

or, y=18

(b) let P=k/z

so, 4=k/200

or, k=800

when P = 10

P=k/z

or, 10=800/z

or, z=800/10

or, z=80

You cannot buy it.

Step-by-step explanation:

$450 with a 20% percent discount would be $360

Add in a sales tax of 5.25%, and it amounts to $549 in total.

Since you only have $400, you cannot buy the bike.