Question

liam recently started a new job at a tech company. hes been offered a base salary, plus a bonus for each software bug he identifies and fixes. in his first month, without fixing any bugs, he earned $3,200. in the second month, after fixing 15 bugs, he earned $3,350. which linear function best models liams monthly earnings based on the number of software bugs he identifies and fixes?
$y = 10x+3,350$
$y = 10x + 3,200$
$y = 15x+3,350$
$y = 15x + 3,200

Explanation:

Step1: Identify base - salary and bonus

The base - salary is the amount earned without identifying and fixing bugs. In the first month, without fixing any bugs, he earned $3200, so the base - salary is $3200.

Step2: Determine bonus per bug

In the second month, after fixing 15 bugs, he earned $3350. The extra amount earned from fixing bugs is $3350 - $3200=$150. Since he fixed 15 bugs, the bonus per bug is $\frac{150}{15}=10$.

Step3: Write the linear function

Let $x$ be the number of software bugs he identifies and fixes. The linear function for his monthly earnings $y$ is $y = 10x+3200$.

Answer:

$y = 10x + 3200$