Question

#2
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. $t = 5.125c$
b. $t = 0.5125c$
c. $t = 0.05125c$
d. $t = c \div 0.05125$
e. $t = \frac{5.125}{100}c$

Explanation:

Step1: Convert percentage to decimal

To convert a percentage to a decimal, divide by 100. So, \(5.125\%=\frac{5.125}{100}=0.05125\)

Step2: Calculate sales tax formula

The formula for sales tax \(t\) on an item of cost \(c\) is \(t = \text{tax rate}\times c\). Since the tax rate is \(0.05125\), the formula is \(t = 0.05125c\). Also, since \(0.05125=\frac{5.125}{100}\), the formula can also be written as \(t=\frac{5.125}{100}c\)

Answer:

C. \(t = 0.05125c\), E. \(t=\frac{5.125}{100}c\)