Question

A child completes tasks to earn rewards. She earns one reward for each task completed plus two bonus rewards each day. Let t represent the number of tasks completed and r represent the number of rewards earned. Write an equation to model the relationship between tasks completed and rewards earned in a day.

Answer 1

A child completes tasks to earn rewards.

Now we have to write an equation for the rewards earned using given information.

Given that reward earned on 1 task = 1

Given that number of tasks = t

then number of rewards earned on t tasks = 1*t

Number of bonus rewards earned in 1 day = 2

So total number of rewards earned in 1 day = 1*t+2

Number of rewards is denoted by "r" so we can write number of rewards earned in 1 day as:

r=1*t+2

or

r=t+2

Hence final answer is r=t+2