shelby sells party supplies. she gets paid a set salary per month plus a commission on her sales. her total…

shelby sells party supplies. she gets paid a set salary per month plus a commission on her sales. her total monthly pay can be calculated using $p(s)=2,500 + 0.08s$, where $s$ is shelbys total amount of sales, in dollars, that month. select all the true statements. if shelby sells $6,500 worth of party supplies in a month, then her monthly pay will be $3,020. if shelby sells $8,000 worth of party supplies in a month, then her monthly pay will be $5,640. if shelby gets paid $2,500 in a month, then she sold $0 worth of party supplies that month. if shelby gets paid $2,532 in a month, then she sold $400 worth of party supplies that month.

shelby sells party supplies. she gets paid a set salary per month plus a commission on her sales. her total monthly pay can be calculated using $p(s)=2,500 + 0.08s$, where $s$ is shelbys total amount of sales, in dollars, that month. select all the true statements. if shelby sells $6,500 worth of party supplies in a month, then her monthly pay will be $3,020. if shelby sells $8,000 worth of party supplies in a month, then her monthly pay will be $5,640. if shelby gets paid $2,500 in a month, then she sold $0 worth of party supplies that month. if shelby gets paid $2,532 in a month, then she sold $400 worth of party supplies that month.

Answer

Explanation:

Step1: Check first statement

Substitute $s = 6500$ into $p(s)=2500 + 0.08s$. $p(6500)=2500+0.08\times6500=2500 + 520=3020$.

Step2: Check second statement

Substitute $s = 8000$ into $p(s)=2500 + 0.08s$. $p(8000)=2500+0.08\times8000=2500 + 640=3140\neq5640$.

Step3: Check third statement

Set $p(s)=2500$, then $2500=2500 + 0.08s$. Subtract 2500 from both sides: $0 = 0.08s$, so $s = 0$.

Step4: Check fourth statement

Set $p(s)=2532$, then $2532=2500 + 0.08s$. Subtract 2500 from both sides: $32=0.08s$. Solve for $s$: $s=\frac{32}{0.08}=400$.

Answer:

If Shelby sells $6,500 worth of party supplies in a month, then her monthly pay will be $3,020.; If Shelby gets paid $2,500 in a month, then she sold $0 worth of party supplies that month.; If Shelby gets paid $2,532 in a month, then she sold $400 worth of party supplies that month.