Question

Hi! Can someone please check my answers to an algebraic question? I will medal and become a fan of you if I'm not already. :)

Answer 1

Jack's pet dog has been prescribed 40 mg of a medicine per day. Each pill of the medicine has 12 mg of the medicine. Jack has to give his dog a total of 20 pills. If Jack gave his dog medicine for x days, use the expression below to interpret the situation.

12 • 20 − 40x

Part A: What does 240 represent? (3 points)

Part B: What does the 40x represent? (3 points)

Part C: What does the entire expression represent? (4 points)

Answer 2

Each pill has 12 mg of the medicine
total of 20 pills

20 mg per pill times 20 pills is 240 mg (of medicine)

the total amount of medicine is 240 mg
(divided into 20 pills)

40 mg of a medicine per day
for x days
40 mg times 1 day = 40 mg
40 mg times 2 days = 80 mg
40 mg times 3 days = 120 mg

12 • 20 − 40x

the first part 12*20 = 240 is how much we start with
40x is how much we used up (after x days)

240 mg - 40 mg/day * x days

remember that 40x means
40 mg times 1 day = 40 mg
40 mg times 2 days = 80 mg
40 mg times 3 days = 120 mg

how much medicine used up. it is so many mg

if you start with
240 mg and subtract 40 mg (for example) the answer will be in mg
not days.

you could look at what you get for x=1, 2, 3

240 - 40*1 = 200
240 - 40*2= 160
240 - 40*3= 120

How much medicine in mg we have left after x days

For example, after 3 days, we have 120 mg left
(we use the formula 240 - 40*3 = 240-120= 120 mg left)

Answer 3

That is how I solved the problem ^

Answer 4

So, I would conclude that you are correct! :D @Lena772

Answer 5

Thank you!

Answer 6

Thank you for letting me help you!

Signed:
\[Mangorox\]