Answer
a. 86.67; 520; 1170; it costs 86,670,000 to inoculate 40% of the population against this strain of the flu, 520,000,000 to inoculate 80% of the population, and 1,170,000,000 to inoculate 90% of the population.
b. x=100
c. The cost increases rapidly; it is impossible to inoculate 100% of the population.
Work Step by Step
a. $\frac{130(40)}{100-40}$ = $\frac{5200}{60}$ = 86.67
$86.67\times1,000,000$ = 86,670,000
$\frac{130(80)}{100-80}$ = $\frac{10400}{20}$ = 520
$520\times1,000,000$ = 520,000,000
$\frac{130(90)}{100-90}$ = $\frac{11700}{10}$ = 1170
$1170\times1,000,000$ = 1,170,000,000
b. If x = 100, the denominator would be 100-100 which equals zero. a Zero in the denominator causes the expression to be undefined.
c. The cost increases rapidly; it is impossible to inoculate 100% of the population.
