Question

Translate this sentence into an equation.

"117 is the product of Diane's height and 9."
Use the variable d to represent Diane's height.
A) 117d = 9
B) d + 117 = 9
C) 9d = 117
D) 9 + 117 = d

Answer 1

The sentence '117 is the product of Diane's height and 9' translates to the equation 9d = 117 in mathematical terms, with d representing Diane's height.

Step-by-step explanation:

To translate the sentence into an equation, we identify the mathematical operation implied by the word 'product'. The word 'product' indicates multiplication. Therefore, the equation can be written as Diane's height (represented by the variable d) multiplied by 9 equals 117. The correct equation is 9d = 117.

Following the instructions:

• Define the variable: Let d represent Diane's height.
• Translate the sentence: '117 is the product of Diane's height and 9' becomes 117 equals 9 multiplied by d, or 9d.
• Write the equation: 9d = 117.

This equation can now be solved to find the value of d, which would give us Diane's height.