Michael borrows money from his uncle, who is charging him simple interest using the formula l = prt. to figure out what the interest rate, r, is, michael rearranges the formula to find r. his new formula is r equals

Michael new formula for the interest rate is r = I/Pt

Given the equation:

l = Prt;

Where I = interest, P = principal, r = interest rate and t = time.

To find r, we have to make r the subject of the formula, hence:

I = Prt

Dividing both sides of the equation by Pt:

I/Pt = Prt/Pt

r = I/Pt

Hence Michael new formula is r = I/Pt

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= r

Step-by-step explanation:

First write down the equation they gave you:

l = Prt

You need to ask yourself what is being done to r.  r in this case is being multiplied by two variable: P and t.  To undo multiplication you divide, the set up for division:

I divided by the two numbers, so it would be easier.  The P and T cancels out on the right and you are left with r.  On the left, however, it stays the same because there are no like terms to solve with.  You just leave as it is.

The result you get is:

f(x) has value 150 at x= 0

and 0 at x= 3

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