tasha saves coins in a jar the table shows the how the amount of money was in the jar at the end of every three month period a line of best fit for this data is B = 0.45m + 1.93

Question

month, 3 6 9 12
balance 3.24 4.63 5.97 7.26
which value is the best estimate of the amount of money in the jar at the end of the first month?

Answer 1

To estimate the amount of money in the jar at the end of the first month using the line of best fit, we can substitute \( m = 1 \) into the given equation \( B = 0.45m + 1.93 \).

Substituting \( m = 1 \):

\[ B = 0.45(1) + 1.93 \] \[ B = 0.45 + 1.93 \] \[ B = 2.38 \]

Thus, the best estimate of the amount of money in the jar at the end of the first month is $2.38.