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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 )
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