Question

Use the table to answer the question.

Interest Rates Based on Investment Amounts
Amount of Money Invested ($) Interest Rate (%)
Less than 15,000 4.0
15,000 or more but less than 30,000 4.15
30,000 or more 4.25
A local bank is offering various annual rates of return for CD investments dependent upon the amount of money invested. The table shows the interest rate per year based on the dollar amount invested. Which piecewise function represents the interest rate given the amount of money invested?

(1 point)

A) f(x)=⎧⎩⎨⎪⎪4.0+x,4.15+x,4.25+x, 0≤x<15,00015,000≤x<30,000x≥30,000


B) f(x)=⎧⎩⎨⎪⎪4.25,4.15,4.0, 0≤x<15,00015,000≤x<30,000x≥30,000


C) f(x)=⎧⎩⎨⎪⎪4.0,4.15,4.25, 0≤x<15,00015,000≤x<30,000x≥30,000


D) f(x)=⎧⎩⎨⎪⎪15,000,30,000,45,000, 0≤x<4.04.0≤x<4.154.15≤x<4.25

Answer 1

C

The piecewise function in C matches the table: f(x) = 4.0 for 0 ≤ x < 15,000; f(x) = 4.15 for 15,000 ≤ x < 30,000; f(x) = 4.25 for x ≥ 30,000.