H(x) =2x+3 James brought a plant that was 3 inches tall. Each week the plant grew 2 inches. The function h(x) = 2x + 3 describes
1 answer:
Answer:
<h2>For 6 weeks, the height will be 15 inches</h2>Step-by-step explanation:
Step one:
given data
the initial height of plant= 3inches
growth in inches per week =2inches per wee
Step two:
for x number of weeks, the height is expressed as
With the given growth function, we can estimate the height of the plant after any number of weeks, say x=6, that is 6 weeks, the height will be
substitute x=6 in the growth function
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9514 1404 393
Answer:
- 459 mg
- about 20 hours
Step-by-step explanation:
The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...
r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours
__
a) After 4 hours, the amount remaining is ...
r(4) = 1450·0.75^4 ≈ 458.79 . . . mg
About 459 mg will remain after 4 hours.
__
b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...
r(t) < 5
1450·0.75^t < 5 . . . . use the function definition
0.75^t < 5/1450 . . . . divide by 1450
t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)
t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t
t > 19.708
It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.
