Answer: A
Step-by-step explanation:
In this question, you can disregard the initial $13.90 cost because we're only looking for an INCREASE in price. If the Johnson family used 200 cubic feet MORE of water, we need to multiply 2 * 1.45 which gets us 2.90. We multiply 2 by 1.45 because 200 represented in x is 2, since x is represented in hundreds.
Log base 4 of 32 is equal to 5/2.
What a log is looking for is what number do we have to raise 4 to in order to get 32. Since it is not an exact multiply of 4, we have to look for fractions. Since we know that 2 can multiply directly to 32, we would simply take the square root of 4. This can be done by raising 4 to the 1/2.
Now that we have 2, we know that raising that to the 5th power would give us 32. So we'll take that answer and the 1/2 from before and multiply them together to get the final answer.
5*1/2 = 5/2.
First term is 13m with factors 13 and m
second term is -2n with factors -2 and n
If you use the equation y-y1=m(x-x1) it would give you y-0=-1/4(x-2) which you would then have to simplify into slope intercept from rather than point slope form.
you do this by using the distributive property on the -1/4(x-2) which would give you y=-1/4x+1/2
