Answer :
To translate the sentence "85 is the product of 5 and Jenny's height" into an equation, we need to identify the variables and mathematical operations involved.
1. Identify the variable:
- Let [tex]\( j \)[/tex] represent Jenny's height.
2. Translate the statement into a mathematical equation:
- The phrase "the product of 5 and Jenny's height" indicates a multiplication operation.
- Therefore, [tex]\( 5 \cdot j \)[/tex] (or [tex]\( 5j \)[/tex]) represents the product of 5 and Jenny's height.
- The sentence states that this product is equal to 85.
So, the equation that represents "85 is the product of 5 and Jenny's height" is:
[tex]\[ 85 = 5j \][/tex]
This equation means that when 5 is multiplied by Jenny's height ([tex]\( j \)[/tex]), the result is 85. To find Jenny's height, we need to solve for [tex]\( j \)[/tex].
1. Identify the variable:
- Let [tex]\( j \)[/tex] represent Jenny's height.
2. Translate the statement into a mathematical equation:
- The phrase "the product of 5 and Jenny's height" indicates a multiplication operation.
- Therefore, [tex]\( 5 \cdot j \)[/tex] (or [tex]\( 5j \)[/tex]) represents the product of 5 and Jenny's height.
- The sentence states that this product is equal to 85.
So, the equation that represents "85 is the product of 5 and Jenny's height" is:
[tex]\[ 85 = 5j \][/tex]
This equation means that when 5 is multiplied by Jenny's height ([tex]\( j \)[/tex]), the result is 85. To find Jenny's height, we need to solve for [tex]\( j \)[/tex].