Jake has a summer job as a photographer at an amusement park. He wants to save$3500 . He must choose whether to sell large photos or small photos. For each photo, he will earn the amounts shown in the table. How many of each kind of photo will he need to sell to reach his goal of $3500 ?

Question: Jake has a summer job as a photographer at an amusement park. He wants to save $3500 . He must choose whether to sell large photos or small photos. For each photo, he will earn the amounts shown in the table. How many of each kind of photo will he need to sell to reach his goal of $3500 ?

With the added information from the comments, Small Photos cost $12 and Large Photos cost $15.

We want to figure out how many photos of each size Jake will need to earn a total of $3500.

To figure out how many Small Photos Jake needs to sell, you can divide the amount he wants to save by the cost of the small photos:

On my calculator, 3500÷12 equals roughly 291.6666667. Realistically that number doesn't make sense in this context, so it's safe to round that to the nearest whole number, which would be 292. Selling 292 small photos will earn Jake $3504. It's okay that he's earned more than he wanted to save because it's safer to earn more instead of not earning the amount he needs. If we decided to stick with 291 small photos, Jake would have only earned $3492, which isn't enough.

In conclusion, Jake will need to sell 292 small photos.

To figure out how many Large Photos Jake needs to sell, the process is the same for the Small Photos. Again, you divide the amount Jake needs to save by the cost of the Large Photos:

3500÷15= 233.3333333 ... the threes keep repeating. As mentioned before, this number realistically doesn't make sense, so we must round again to the next whole number. That would be 234 Large Photos. By selling 234 Large Photos Jake will earn $3510 instead of $3495 if he had only sold 233 Large Photos.

(Hope this helps :). Please let me know if there's any confusion in my explanation)

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺