in a chemical reaction, the mass of a product grows 11 g in every hour. the current mass of the product is…

in a chemical reaction, the mass of a product grows 11 g in every hour. the current mass of the product is 46 g. when will the mass of the product first exceed 101 g?

in a chemical reaction, the mass of a product grows 11 g in every hour. the current mass of the product is 46 g. when will the mass of the product first exceed 101 g?

Answer

Explanation:

Step1: Set up an equation

Let $t$ be the number of hours. The mass $m$ of the product can be modeled by the equation $m = 46+11t$. We want to find $t$ when $m>101$, so $46 + 11t>101$.

Step2: Solve the inequality

Subtract 46 from both sides: $11t>101 - 46$, so $11t>55$.

Step3: Find the value of t

Divide both sides by 11: $t>\frac{55}{11}$, so $t > 5$.

Answer:

6 hours (since $t$ must be an integer and it has to be greater than 5 for the mass to exceed 101 g)