Ivan wants to rent a boat and spend less than $31. The boat costs $8 per hour, and Ivan has a discount coupon for $9 off. What are the possible numbers of hours Ivan could rent the boat?

Write your answer as an inequality solved for t.

he could have the boat for 4 hours with the coupon

t or time is the unknown here to be solved.

The hours Ivan rent the boat multiplied with $8 with $9 discount needs to be less than $31. Hence,

8t - 9 < 31

8t < 31 + 9

8t < 40

t < 5

The hours Ivan can rent the boat has to be less than 5. This is because he wants to spend LESS than 31, 31 sharp is not okay.

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: