The doubling time of a population of grasshoppers is 10 days. by what factor does the population of grasshoppers grow in 35 days?

The correct answer is:

11.3

Explanation:

In 10 days, the population x would double, becoming 2x.

Every 10 days after, the population would double again. This means at 20 days, the population would be 2(2x) = 4x, and at 30 days, the population would be 2(4x) = 2(2(2x)) = 8x.

Writing the repeated multiplication out, we see that this can be represented with exponents. 10 days would be 2¹(x); 20 days would be 2²(x); 30 days would be 2³(x).

5 days would not be adding a whole number to the exponent, as it is only half of the time it takes to double. This means we would add 0.5 to the exponent; this would make 35 days

, which comes out to 11.3x. This means it increases by a factor of 11.3 in 35 days.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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