d = (r ^ 2)/24 The function is a model for the distance d in feet that a car with locked brakes skids when coming to a complete stop from a speed of mi / h * r . Find the inverse of the function. Use the inverse to estimate the speed of a car that made skid marks 136 feet long.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for