Y=√(x+6) - 7
constraint: x+6> or = 0
or x> 0r = -6
RANGE = x∈R/ x > or = 0
Part A: The exponential function is the best model for the given data. The data shows that every month the number of visitor approximately doubles from previous month. In other words the number is some base value (2, in this case) with the number of month (t) being in the exponent. This the a key characteristic of an exponential growth.
Part B: (also explained above). Every month the number of visitors approximately doubles. Starting with 5.74 at month 8, the numbers goes up by about the same amount to 12.0 at month 9. At month 10, a similar increase occurs (doubling would be 24, and the data shows 25, so this is all "aproximate"). This trend continues throughout the table.
Part C:
Month 7 will be estimated as half of month 8 (going backward):
Month 7: 5.74/2=2.87
Estimate for month 7 = 2.87 thousand visitors.
Answer:
Let v = ml of 100% vinegar
Then 150-v = ml of dressing
v + .05(150-v) = .24(150)
v + 7.5 - .05v = 36
.95v = 28.5
v = 28.5/.95
v = 30 ml of vinegar
dressing = 150-30 = 120 m
