Question

Help please!! Also please explain your answer

Answer 1

Answer: Number 5

Step-by-step explanation:

If Jachin needs $400 dollars to get the tablet and she already has $85 she now needs $315. (400 - 85) Since she gets paid $25 a week we have to find how many weeks it will take to reach the $315. So that would be 12.6 weeks. (12.6 x $25 = $315) And she should have no more than 13 weeks to get the money because 12.6 rounded up is 13.

And that should be Answer: Number 5 (w > 12.6 means that it will take Jachin no more than 13 weeks to save enough money to buy the tablet)

Hope that this is not too confusing

Answer 2

F. w > 12.6, minimum of 13 weeks

Explanation:

The amount Jachin will have in his savings account will be the sum of the initial amount and the product of the weekly deposit and the number of weeks. Jachin wants that amount to be more than $400. The inequality that represents Jachin's desired bank balance is ...

85 +25w > 400 . . . . . initial balance plus deposits total more than $400

25w > 315 . . . . . . . subtract 85

w > 12.6 . . . . . . . divide by 25; solution to the inequality

__

Jachin makes a deposit once a week, so the value of w will be an integer. The requirement that the value of w be greater than 12.6 means it will take at least 13 weeks for Jachin to save more than $400.

_____

Additional comment

We don't know how much more than $400 Jachin needs to save. We only know it is some amount more than $400. Hence, we cannot say that after week 13 when Jachin has a balance of $410 that he can buy the tablet. This means the "no more than ..." answer choices have no basis in the problem statement and must be ignored.

This only leaves the first and last answer choices as being worthy of consideration. The first choice presumes that w may take on a non-integer value. If Jachin makes a deposit once a week, he will not be making a deposit when w = 12.6 weeks. He will be making his deposit when w = 13 weeks.