contestada

Donna wants to rent a boat and spend at most $26. The boat costs $7 per hour, and Donna has a discount coupon for $9 off. What are the possible numbers of hours Donna could rent the boat?

Use t for the number of hours.
Write your answer as an inequality solved for t.

Respuesta :

Answer:max 5 hours

Step-by-step explanation:To find the possible numbers of hours Donna could rent the boat, we need to consider the cost of renting the boat after applying the discount.Let's denote:xx as the number of hours Donna rents the boat.C(x)C(x) as the cost of renting the boat for xx hours.The cost function is given by:

C(x)=7x−9C(x)=7x−9Since Donna wants to spend at most $26, we can set up the inequality:

C(x)≤26C(x)≤26Substituting the cost function into the inequality, we get:

7x−9≤267x−9≤26Now, let's solve for xx:

7x≤26+97x≤26+9

7x≤357x≤35

x≤357x≤735​

x≤5x≤5So, Donna can rent the boat for at most 5 hours. Now, let's find the minimum number of hours she can rent the boat for:

C(x)=7x−9C(x)=7x−9

7x−9=267x−9=26

7x=357x=35

x=357x=735​

x=5x=5So, Donna can rent the boat for a minimum of 5 hours as well.Therefore, Donna can rent the boat for any whole number of hours between 1 and 5, inclusive.

Otras preguntas