Explain how to use a pattern to find the product of a power of 10 and a decimal.

Start with a decimal number like 7.2 and multiply it with 10^1 = 10

7.2 * 10 = 72

Then multiply 7.2 by 10^2 = 100

7.2*100 = 720

Then 10^3 = 1000

7.2 * 1000 = 7200

Then 10^4 = 10000

7.2 * 10000 = 72000

Each time we add a 0 onto 10 (or 100 or 1000, etc) we add a 0 onto the previous result (72 --> 720 --> 7200, etc)

This is the same as moving the decimal point 1 spot to the right. The exponent over the 10 tells us how many spots to move the decimal

For something like 7.2 * 10^3, we move the decimal point 3 times to the right to end up with 7200

If the exponent over the 10 was negative, then we move the decimal point to the left.

300

step-by-step explanation:

28-600w < 300

28-600w > 300

600-28w < 300

600-28w > 300

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50