As a tornado moves, its speed increases. The function S (d ) = 93 log d + 65 relates the speed of the wind, S, in miles per hour, near the center of a tornado to the distance that the tornado has travelled, d, in miles. a. Calculate the average rate of change for the speed of the wind at the center of a tornado from mile 10 to mile 100.
b. Estimate the rate at which the speed of the wind at the center of a tornado is changing at the moment it has travelled its 10th mile and it’s 100th mile.

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.