Question

One yardstick for measuring how steadily—if slowly—athletic performance has improved is the mile run. In 1958​, the local record for the running of a certain distance was 3​ minutes, 59.3 ​seconds, or 239.3 seconds. In the​ half-century since​ then, the record has decreased by 0.5 seconds per year.

Answer 1

Answer:

They will hit 180 seconds in 118.6 year

Step-by-step explanation:

Let M be the record for the mile (in seconds)

Let x be the year after 1958

So, x=(year)-19548

We are given that In the​ half-century since​ then, the record has decreased by 0.5 seconds per year

So, slope = m = 0.5

Now we will use point slope form

y = mx+c

So, we can express M as,

$M=239.3-0.5 \times x$

Now we are supposed to find when they will hit 180 seconds

Substitute M = 180 in equation

180=239.3-0.5x

x=118.6

So, they will hit 180 seconds in 118.6 year