At 5:15 p.m. on May 1, 2022, the population of Brazil was 215,353,593. There is one new person in Brazil every 0.39 minutes. Write a linear function to model the population of Brazil as a function of the number of minutes that has passed since 5:15 p.m. on May 1, 2022. f(x)= 100/39 + 215, 353, 593 f(x) =39/100 + 215, 353, 593 f(x) = 215, 353, 5932 + 100/39 f(x) = 215, 353, 5932x + 39/100

To write a linear function to model the population of Brazil as a function of the number of minutes that have passed since 5:15 p.m. on May 1, 2022, we can use the equation of a line:

f(x) = mx + b

where:
- f(x) represents the population of Brazil at time x in minutes,
- x represents the number of minutes that have passed since 5:15 p.m. on May 1, 2022,
- m is the slope of the line, which is the rate of increase in population per minute, and
- b is the y-intercept, which is the initial population at x = 0 .

Given that there is one new person in Brazil every 0.39 minutes, the slope of the line is \frac{1}{0.39} = \frac{100}{39} .

Substitute the slope and the initial population of 215,353,593 into the equation:

f(x) = \frac{100}{39}x + 215,353,593

Therefore, the linear function to model the population of Brazil is:
\boxed{f(x) = \frac{100x}{39} + 215,353,593}