The total cost after tax to repair betty's car is represented by 0.08(75h) + 75h, where h represents the number of hours it takes to repair the car. what part of the expression represents the amount of tax betty has to pay? explain.

The expression that represents  the amount of tax Betty has to pay in 0.08(75h) + 75h is 0.08. Taxes are represented as decimals/fractions/rates. The costs is 75 dollars an hour so 75 * h = 75h. To find the tax, we need we need to multiply 0.08 times 75 times number of h(hours)

, and

for

step-by-step explanation:

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

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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

There is no