Joseph took a taxi from his house to the airport. The taxi company charged a pick-up fee of $ 3.10 plus $2 per mile. The total fare was $21.10, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

11

step-by-step explanation:

32.50-7.50=25

225/25=11

, 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