nemired9

2021-12-27

Elena regularly takes a multivitamin and mineral supplement. She purchases a bottle of 250 tablets and takes two tablets every day.
(a) Find a formula for the number of tablets T that are left in the bottle after she has been taking the tablets for x days.
(b) How many tablets are left after 30 days?
(c) How many days will it take for her to run out of tablets?

### Answer & Explanation

ol3i4c5s4hr

Step 1: Given
Elena purchases bottle of 250 tablets and takes 2 per day.
Step 2: Solution
a) Formula for number of tablets left of after she takes it for x number of days, she uses 2 tablets per day, so tablets used in x days $=2x$
Tablets left $=250-2x$
b) Lets find the tablet left after 30 days using above formula we get,
Tablets left $=250-2x$
$=250-2\left(30\right)$
$=250-60$
$=190$ tablets
Thus 190 tablets left after 30 days.
c) For her to run out of tablet ,tablet left $=0$
lets calculate number of days(x) using above formula.
Tablets left $=250-2x$
$0=250-2x$
$2x=250$
$x=125$ days
Thus it will take 125 days for her to run out of tablet.
Step 3: Conclusion
a) Tablets left $=250-2x$
b) 190 tablets are left after 30 days.
c) It will take 125 days for her to run out of tablet.

aquariump9

Step 1
a. She takes two tablets out each day. Let x denote the days since she started consuming the tablets. The number of tablets T left in the bottle after x days is then $T=250-2x$
Step 2
b. We substitute in the above formula $x⇒30$ to get
$T=250-2\left(30\right)=250-60=190$ tablets
Step 3
c. We solve for x by setting $T⇒0$.
$0=250-2x$ rearrange the terms/isolate x
$2x=250$ divide by 2
$x=125$
So it'll take 125 days for her to run out of tablets.

user_27qwe

a) Formula for number of tablets left of after she takes it for x number of days, she uses 2 tablets per day, so tablets used in x days =2x
Tablets left =250-2x
b) We substitute in the formula x $⇒$ 30 to get
=250-2x
=250-2(30)
=250-60
=190 tablets
c) For her to run out of tablet ,tablet left =0
=250-2x
0=250-2x
2x=250
x=125 days

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