in 1995 the life expectancy of males in a certain country was 67.4 years. in 2000, it was 70.9 years let E represent the life expectancy in years t and let t represent the number of years since 1995.
the linear ntion E(t) that fits the data is
E (t)___+___
use the function to predict the life expectancy of males in 2005.
E(10)____
i need help on this one only can someone help me solve it please.
The formula R= - 0.075 + 3.85 can be used to predict the world record in the 1500 meter run, t years after 1930. Determine an inequality that identifies the years in which the world record will be less than 3.4 minutes.
Solve for T
t >
(Round to the nearest whole number)
To find the linear function that fits the data, we need to determine the equation of the straight line that passes through the given data points. In this case, the data points are (0, 67.4) for the year 1995 and (5, 70.9) for the year 2000.
We can use the formula for the equation of a straight line, which is y = mx + c, where m is the slope of the line and c is the y-intercept.
Let's find the slope first:
slope (m) = (change in y) / (change in x) = (70.9 - 67.4) / (5 - 0) = 3.5 / 5 = 0.7
Now, we can substitute the values of the slope (m) and one data point (0, 67.4) into the equation y = mx + c to find the value of c:
67.4 = 0.7 * 0 + c
c = 67.4
Therefore, the linear function that fits the data is:
E(t) = 0.7t + 67.4
To predict the life expectancy of males in 2005 (t = 10), we substitute t = 10 into the function:
E(10) = 0.7 * 10 + 67.4
E(10) = 7 + 67.4
E(10) = 74.4
Therefore, the predicted life expectancy of males in 2005 is 74.4 years.