Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point.

A. Write an expression to represent the total change of rates over the last six months.

B. Find the total change. Make sure to express your answer as a mixed number in lowest terms.

Respuesta :

The answer to A would be, 6(-1/4)

Answer with explanation:

Let the Initial Interest rate = x

It is given that each month Interest rate decreases by [tex]\frac{1}{4}[/tex] point.

A.β†’ Expression which Β represent the total change of rates over the last six months

Let total change of rate over the last six month= y

Β  Β  [tex]\rightarrow y=6 \times \frac{-x}{4}\\\\\rightarrow y=-1.5x[/tex]

B.β†’

Total Change

Β  Β  Β  Β  Β  [tex]=\frac{I_{6}-I_{0}}{T_{6}-T_{1}}\\\\=\frac{-1.5 x -x}{6-1}\\\\=\frac{-2.5 x}{5}\\\\=-0.5 x\\\\=\frac{-5x}{10}\\\\=\frac{-x}{2}[/tex] Β  Β  Β