Question

write a formula that converts x week to y hours.

Answer 1

How many days per week, how many hours per day? Then, how many hours per week?

Answer 2

7 ok and 24

Answer 3

Try to think of stuff you already know and write it out as a chart. It might help you in making a formula.

Answer 4

Now write it as a fraction. \(\frac{7~days}{1~week}\) for all of your values, then cancel units and multiply across. :)

Answer 5

ok be 7*24

Answer 6

168hours

Answer 7

x=168y

Answer 8

Exactly, so 7*24=168 hours per week. Now, the relation x weeks to y hours. A general, simple equation will be of the shape y = a*x + b. You have just calculated that for 1 week (x=1), there are 168 hours. Try to find a and b

Answer 9

x weeks=168*x hours

Answer 10

You can easily see that b = 0, because if you have 0 weeks (x=0), you will of course have 0 hours. This means that 0 = a*0 + b, which can only be true for b=0.

Now:
y (hours) = a * x (weeks)
where you know that for x = 1, y = 168. What is a? Try to verify a by calculating the amount of hours for, for example, 2 weeks (x=2).