Question

A salesperson earns a base salary of $4000 per month plus 15% commission on sales. her monthly income f(s) is given by the function f(s)=4000 +0.15s where s is monthly sales in dollars use this information for numbers 9-12
9) find g(s) if the salesperson's commission is lowered to 5%

10) find h(s) if the salesperson's base salary is doubled

11) find k(s) if the salesperson's base salary is cut in half and her commission is doubled

Answer 1

9.) Given that the salesperson earns a base salary of $4000 per month plus 15% commission on sales if the salesperson's commission is lowered to 5%, then her monthly income g(s) is given by the function g(s)=4000 +0.05s where s is monthly sales in dollars



10) Given that the salesperson earns a base salary of $4000 per month plus 15% commission on sales if the salesperson's base salary is doubled, then her monthly income h(s) is given by the function g(s)=8000 +0.15s where s is monthly sales in dollars



11) Given that the salesperson earns a base salary of $4000 per month plus 15% commission on sales if the salesperson's base salary is cut in half and her commission is doubled, then her monthly income k(s) is given by the function k(s)=2000 +0.3s where s is monthly sales in dollars.

Answer 2

Answers:

g(s)=4000+0.05s

h(s) = 8000+0.15s

k(s) =2000+0.3s

Step-by-step explanation:

9) From the expression f(s)=4000+0.15s where s is the monthly sales in dollars we have to convert 5% into a fraction:

$5/100=0.05$

∴ g(s) = 4000+0.05x

10) If the base salary of $4000 is double the amount is multiplied by 2:

$4000*2=8000$

∴ h(s) = 8000+0.15s

11) If the base salary is cut in half, means $4000 is divided by 2. The commision is multiplied by 2:

∴ k(s) =2000+0.3s