Question

Question 26 pleaseee

Answer 1

Answer:

The inequality is $55+10x\leq 105$

The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.

Step-by-step explanation:

Given: Cost of first hour rent of jet ski is $55

          Cost of each additional 15 minutes of jet ski is $10

          Jeremy can spend no more than $105

Assuming the number of additional 15-minutes increment be "x"

Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.

Lets put up an expression for total spending of Jeremy.

$\ 55+ \ 10\times x$

We also know that Jeremy can not spend more than $105

∴ Putting up the total spending of Jeremy in an inequality.

$\ 55+\ 10x\leq \ 105$

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,

⇒ $\ 55+\ 10x\leq \ 105$

Subtracting both side by 55

⇒ $\ 10x\leq \ 50$

Dividing both side by 10

⇒$x\leq \frac{50}{10}$

∴ $x\leq 5$

Therefore, Jeremy can rent for $60\ minutes + 5\times 15\\= 60\ minutes + 75= 135\ minutes$

Jeremy can rent maximum of 135 minutes.