Karen used a birthday check her mother gave her to start a savings account. She plans to save $25 per month as well. After 8 months, Karen has $250. Write and solve a linear equation to find the original check
amount from Karen's mother.

Explanation:

Lets just say the amount her mom gave her is c

and the months is a

the equation would be

c + 25a = 250

we can plug in 8 for a, cause we know its been 8 months,

c + 25(8)= 250

then do the parentheses

c + 200 = 250

subtract the 200 to isolate the variable c

c = 50

then you get c = 50,

Karen's mom gave her a check for $50.

(why karen btw. i would never give $50 to a karen)

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.