Question

Margo has a coin collection. She was given 1 coin as a gift, and she adds 3 coins per year. Which of the graphs below represents Margo's coin collection? (1 point) Select one: a. graph of line going through 1, 2 and 3, 4 b. graph of line going through 1, 1 and 3, 3 c. graph of line going through 1, 4 and 3, 10 d. graph of line going through 1, 2 and 2, 5

Answer 1

Hello there:)


y=total amount of coins
x=year
y=3y+1

Hope this helps you

~True boss

Answer 2

Answer:

option: c.   graph of line going through (1, 4) and (3, 10)

Step-by-step explanation:

It is given that:

Margo has a coin collection.

She was given 1 coin as a gift, and she adds 3 coins per year.

i.e. she started with a initial of one coin and add 3 coins each year.

That is this situation can be represented with the help of a function:

C(t) which represents the number of coins she has in 't' years.

Now,

C(0)=1

Also,

C(t)=3t+1-------------(A)

Hence, we will check each of the given functions whether at the value of t they passes through that point or not.

a)

it is given that:

Graph passes through (1,2) and (3,4)

i.e. when t=1   C(t)=2

and when t=3 C(t)=4

but on putting the value of t in equation (A) it does not hold true.

same could be done for option (b) and option (d).

But in option (c)

It hold true.

• c. graph of line going through 1, 4 and 3, 10

         Since,

          when t=1

            C(t)=3×1+1=4

         when t=3

            C(t)=3×3+1=10

Hence, the correct answer is:

c.)   graph of line going through 1, 4 and 3, 10