Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression
Well you will just subtract 91 - 7 which equals 84.
So 7 + 84 = 91
STEP 1:
Find percentage. 57 out of 100 is the percentage to multiply by.
57/100= 0.57 (= 57%)
STEP 2:
Multiply percentage by the total gallons ordered (24).
=24 gallons * 0.57
=13.68 gallons
ALTERNATIVE METHOD (use which works best for you)
Set up a proportion. 57 to 100 is x out of 24 gallons.
x= number skim gallons to order
57/100= x/24
cross multiply
(57*24)= (100*x)
1368= 100x
divide both sides by 100
13.68 gallons= x
ANSWER: Since you cannot order a partial gallon of milk, round up to 14 whole gallons
Hope this helps! :)
It’s the last option (-6m-n+3)
<span>First we define Charlene's the average time, which is (8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5)/6 = 8.5. Normal time is 8.5/1.1 = 7.7. Charlene is faster than normal.</span>
