Avery has a total of $12.50 in her piggy bank at home. Each week she takes out $1.25 to ride the city bus. Write an equation representing the balance, C, in the piggy bank, where w is the number of weeks.

AC = 1.25w – 12.50
BC = 1.25w + 12.50
CC = –1.25w + 12.50
DC = –1.25w – 12.50

Verified Answer :

amount now-bus=ballance
bus=number of weeks times how much taken out each time
12.5=amount now
bus=1.25w


C=12.50-1.25w
or
C=-1.25w+12.5

answer is C

For this case we have a function of the form:

\(c (w) = mw + b\)

Where,

  • b: initial amount
  • m: weekly rate of change
  • w: number of weeks
  • c: total balance

We have then that Avery has a total of $ 12.50 in her piggy bank at home:

\(b = 12.50\)

Each week she takes out $ 1.25 to ride the city bus:

\(m = -1.25\)

Substituting values we have:


\(c (w) = - 1.25w + 12.50\)

Answer:

an equation representing the balance, C, in the piggy bank, where w is the number of weeks is:


\(c (w) = - 1.25w + 12.50\)

Option C