a. The rate of change = -25/month
b. Kamal's account balance reduces by 25$ per month.
c. To find the $725.
d. Kamal's opening balance or initial deposit.
e. The linear equation is: A = -25n + 725.
How to Find the Rate of Change and Initial Value of a Linear Relation?
The rate of change (m) = change in y/change in x.
a. The rate of change (m) = change in A / change in n = (700 - 650)/(1 - 3) = -25/month.
b. -25 dollar per month means every month, Kamal's account balance reduces by 25$
c. To find the initial value (b), substitute m = -25 and (7, 550) = (n, A) into A = nm + b:
550 = 7(-25) + b
550 = -175 + b
550 + 175 = b
b = 725.
Initial value is: 725.
d. The initial value, $725, is Kamal's opening balance or initial deposit.
e. To write the linear equation, Substitute m = -25 and b = 725 into A = nm + b:
A = -25n + 725
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