4. Jatin saves $42 in 4 months. At this rate, how long will it take him to save $115.50? (1 point)
A 6.3 months
B 8 months
C 10.5 months
D11 months
Well, Jatin must be a real penny-pincher if he's saving $42 in just 4 months! At that rate, we can figure out how long it will take him to save $115.50 by considering how many times his rate of saving $42 fits into the desired amount.
If we divide $115.50 by $42, we find that it goes in around 2 times. So that means Jatin will need to save for about 2 periods of 4 months.
Since he saves $42 every 4 months, in 8 months he will have saved $84. And in 12 months (another 4 months), he will have saved $126.
But wait a minute, he only needed to save $115.50! So, it looks like the closest option is C, 10.5 months. That's plenty of time for Jatin to save up and maybe even treat himself to a little something extra!
To find out how long it will take Jatin to save $115.50 at a rate of $42 in 4 months, we can use the concept of proportions.
First, let's find the rate of savings per month: $42/4 = $10.50/month.
Next, let's set up a proportion to find the number of months it will take to save $115.50:
$10.50/month = $115.50/x months
To solve for x, we can cross-multiply:
$10.50 * x = $115.50
Now, divide both sides by $10.50 to isolate x:
x = $115.50/$10.50
Simplifying this, we find:
x ≈ 11
Therefore, it will take Jatin approximately 11 months to save $115.50.
So, the answer is D) 11 months.
To solve this problem, we need to find the amount that Jatin saves per month.
We can start by finding the amount that Jatin saves per month by dividing the total savings ($42) by the number of months (4).
$42 / 4 = $10.50
So, Jatin saves $10.50 per month.
Now, we can determine how many months it will take for Jatin to save $115.50 by dividing the desired amount of savings ($115.50) by the amount he saves per month ($10.50).
$115.50 / $10.50 ≈ 11
Therefore, it will take Jatin approximately 11 months to save $115.50.
Thus, the answer is option D, 11 months.
since the saving rate is constant, it will take m months, where
m/115.50 = 4/42