Ask questions, share knowledge, and connect with a vibrant community on IDNLearn.com. Find the information you need quickly and easily with our reliable and thorough Q&A platform.
Sagot :
SOLUTION:
Step 1 :
In this question, you were meant to work for a rock-climbing gym and need to purchase 330 feet of climbing rope for three days for an event.
Recall that 330 feet = 110 yards.
The online retailer SportsStuff.com charges $5.50 per yard of rope and offers free three-day shipping.
[tex]\begin{gathered} \text{Cost function :} \\ C\text{ = 5.5 y ----- equation 1} \end{gathered}[/tex]The same rope at Outdoor Haven.com costs $5.20 per yard, plus a $12.25 rush delivery fee.
[tex]\begin{gathered} \text{Cost function:} \\ C\text{ = 5.20 y + 12. 25 ---- equation 2 } \end{gathered}[/tex]Step 2 :
We need to put the value of y = 110 into equations 1 and 2,
so we can know the cheapest price you can pay for the rope.
Putting the value of y = 110 into equation 1 ,
[tex]\begin{gathered} C\text{ = 5.5 y} \\ \text{when y = 110},\text{ we have that:} \\ C\text{ = 5.5 ( 110 )} \\ C\text{ = \$ 605} \end{gathered}[/tex]Putting the value of y = 110 into equation 2 ,
[tex]\begin{gathered} C\text{ = 5. 2 y + 12. 25} \\ \text{when y = 110, we have that:} \\ C\text{ = 5. 2( 110 ) + 12. 25} \\ C\text{ = 572 + 12. 25} \\ C\text{ = \$ 584. 25} \end{gathered}[/tex]CONCLUSION:
The cheapest price you can pay for the rope = $ 584. 25 ( OPTION A )
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.
