Question

an international plan to eliminate one virus is proposed. the time in years since the plan began, t, depending on the amount spent in billions of dollars, a, can be found using t = √(a - 5.7)/-0.192. how many months have passed if $2.2 billion has been spent? round the answer to the nearest whole number. enter your answer in the box.

Explanation:

Step1: Substitute $a = 2.2$ into the formula

$t=\sqrt{\frac{2.2 - 5.7}{- 0.192}}$
First, calculate the numerator: $2.2-5.7=-3.5$. Then the formula becomes $t = \sqrt{\frac{-3.5}{-0.192}}=\sqrt{\frac{3.5}{0.192}}$.

Step2: Calculate the value inside the square - root

$\frac{3.5}{0.192}\approx18.2292$.

Step3: Calculate the square - root value

$t=\sqrt{18.2292}\approx4.27$.

Step4: Convert years to months

Since $1$ year has $12$ months, the number of months $=4.27\times12 = 51.24$.

Step5: Round to the nearest whole number

Rounding $51.24$ to the nearest whole number gives $51$.

Answer:

$51$