Given:
Baseball is thrown at 89 miles per hour.
The ball will travel 324 feet when hit by a bat swung at 51 miles per hour.
It will travel 444 feet when hit by a boat swung at 81 miles per hour.
To find:
The addition distance travelled by the ball if the speed of bat increased by 1 unit.
Step-by-step explanation:
Let y be the number of feet traveled by the ball when hit by a bat swung at x miles per hour.
The ball will travel 324 feet when hit by a bat swung at 51 miles per hour. So, the point is (51,324).
It will travel 444 feet when hit by a boat swung at 81 miles per hour. So, the point is (81, 444).
Equation of line passes through two points is
Add 324 on both sides.
Using the slope intercept form,
where, m is slope.
The slope of equation is 4. It means, the ball will travel 4 feet farther for each mile-per-hour increase in the speed of the bat.