The operation applied is division.
a simple explanation is that the quantity decreases if you move the decimal to the left, which is the case for division
A power of 10^-4 is involved (you get a negative sign if you shift the decimal to the left: which is another explanation to the above question)
25 pens is better because if you see the cost of one it will be cheaper
Let's say the number of days library book is late is X, and the total fee is Y.
Liability charges $0.30 dollars as a fee for being 1 day late,
For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.
Total charge for being X days late is Y, Which means: Y= 0.30 * X.
Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X
Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.
Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.
Option four(8, 2.40) is the correct answer because it satisfies our equation;
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Fourth option (8, 2.40) is the only viable solution to this question.
Step-by-step Answer:
A dilation about (0,0) or origin has the rule
(x,y) -> (kx,ky)
where k is the scale factor, (x,y) denotes the preimage, and (kx,ky) denotes the image.
For B(-8,-2), and k=12,
we have
B'(-8*12,-2*12) = B'(-96,-24)