Question

April and Alex are saving money to buy new phones. Each friend starts with some money and saves a specific amount each week. Alex wrote an equation to show the total, y, she has saved at the end of each week, x. y = 20x + 125 April made a graph to show the total he has saved at the end of each week.. Compare the amount that each friend has when both friends start saving. Select the correct answer from the drop-down menu to complete the statement. Alex starts with $ and April starts with $.

Answer 1

april starts with $100

Alex starts with $125

I hope that's all you needed.

Answer 2

Alex starts with $125 and April with $100.

Explanation:

Givens:

• 
  `y=20x+125`; where
  `y` is the money Alex saved, and
  `x` refer to weeks.
• The given graph is about April's money saved.

Now, to know the initial amount of money each person started from, we have to look for initial conditions.

In the graph, we observe that the linear relation starts at
`(0;100)`, that means April started with $100, because
`y` refer to money, and
`x` to weeks.

On the other hand, the initial condition of Alex is when
`x=0`, that is, at the moment where time didn't start yet, that is, in the moment he began to save. So,

`y=20(0)+125`

`y=125`

Therefore, Alex started with $125, that's his initial condition

According to these results, Alex starts with $125 and April with $100.