The sales tax rate in New Mexico is \( 5.125 \% \). Select all the equations that represent the sales tax, \( t \), you would pay in New Mexico for an item of cost \( c \) ? A. \( t=5.125 c \) B. \( t=0.5125 c \) C. \( t=0.05125 c \) D. \( t=c \div 0.05125 \) E. \( t=\frac{5.125}{100} c \)

When figuring out sales tax, remember that the rate must be in decimal form. In New Mexico, a rate of \( 5.125\% \) translates to \( 0.05125 \) when expressed as a decimal. Thus, the correct equations are those that accurately reflect how to calculate the tax on an item's cost. The options that represent the sales tax in New Mexico are: C. \( t=0.05125 c \) (correct interpretation of the tax rate) E. \( t=\frac{5.125}{100} c \) (exact conversion from percentage to decimal) So don't be misled! Always convert your percentage to a decimal when performing these calculations. Also, remember, if you see sales tax represented as \( t = k \cdot c \), make sure \( k \) is a decimal form of the tax percentage! It keeps your numbers neat and your calculations on point.