Q. Write the sentence as an equation.176 is equal to the product of 143 and t, reduced by 313Type a slash ( / ) if you want to use a division sign._____
Identify math operation: Step 1: Identify the math operation in the phrase \text{“product of } 143 \text{ and } t, \text{ reduced by } 313\”. The phrase “product of” indicates multiplication. “Reduced by” indicates subtraction.
Write expression: Step 2: Write an expression for "product of 143 and t, reduced by 313".First, multiply 143 and t, then subtract 313. The expression is 143×t−313.
Write equation: Step 3: Write the equation for "176 is equal to the product of 143 and t, reduced by 313".The sentence can be written as an equation: 143×t−313=176.
Solve for t: Step 4: Solve the equation for t. Add 313 to both sides: 143×t−313+313=176+313, 143×t=489, Divide both sides by 143: t=143489, t≈3.42.