Rajinder collects hockey cards. He currently has 75. He has a plan to collect 12 more each week. after how many weeks will he have a total of 147?

a) write an equation that you can use to solve this problem.

b) solve the equation

c) verify your results and write a concluding statement.

ok thanks so much!

im sorry I have not learned that type of way or i don't know im only in grade 8? this is honeslty really confusing?????

after x weeks, he will have

75+12x
cards. So, you want
75+12x = 147
12x = 72
x = 6

https://www.khanacademy.org/search?page_search_query=arithmetic%20progression

a) To solve this problem, we can set up an equation where the number of hockey cards Rajinder will have after a certain number of weeks is equal to the initial number of cards he has, plus the number of cards he collects each week multiplied by the number of weeks. Let's say x represents the number of weeks.

The equation can be written as:
75 + 12x = 147

b) To solve the equation, we need to isolate x.

Subtract 75 from both sides:
12x = 147 - 75
12x = 72

Divide both sides by 12:
x = 72 / 12
x = 6

Therefore, it will take 6 weeks for Rajinder to have a total of 147 hockey cards.

c) To verify the results, substitute the value of x back into the equation:
75 + 12 * 6 = 75 + 72 = 147

As the equation holds true, we can conclude that after 6 weeks, Rajinder will indeed have a total of 147 hockey cards.

This is an arithmetic sequence with

a = 75 and d = 12
you want term(n) = 147
a + (n-1)d = term(n)
75 + (n-1)(12) = 147
12n - 12 = 72
12n =84
n =7
take it from there