Questions: Suppose that the cost of an item, excluding tax, is 1.50. The algebraic expression in dollars, of purchasing x units of that item. Evaluate the algebraic expression A. 9.00 B. 900.00 C. 540.00 D. 90.00

Suppose that the cost of an item, excluding tax, is 1.50. The algebraic expression in dollars, of purchasing x units of that item. Evaluate the algebraic expression
A. 9.00
B. 900.00
C. 540.00
D. 90.00

Transcript text: Suppose that the cost of an item, excluding tax, is $\$ 1.50$. The algebraic expression in dollars, of purchasing $x$ units of that item. Evaluate the algebraic expression A. $\$ 9.00$ B. $\$ 900.00$ C. $\$ 540.00$ D. $\$ 90.00$

Solution

Solution Steps

To solve this problem, we need to evaluate the cost of purchasing a certain number of units of an item, given that each unit costs $1.50. The algebraic expression for the total cost is $1.50 \times x$, where $x$ is the number of units. We need to determine the value of this expression for a specific $x$ to match one of the given options.

Step 1: Define the Cost Function

The cost $ C $ of purchasing $ x $ units of an item, where each unit costs $ 1.50 $ dollars, can be expressed as: \[ C = 1.50 \times x \]

Step 2: Evaluate the Cost for $ x = 60 $

Substituting $ x = 60 $ into the cost function: \[ C = 1.50 \times 60 = 90.0 \]

Step 3: Identify the Correct Option

The calculated total cost of $ 90.0 $ dollars corresponds to option D.