The cost

y

y

(in dollars) to rent a kayak is proportional to the number

x

x

of hours that you rent the kayak. it costs $27 to rent the kayak for 3 hours.

a. write an equation that represents the situation.

an equation that represents the situation is

y=

y=

.

question 2

b. which is the best interpretation of the slope?

it costs $9 every 3 hours to rent a kayak.

it costs $9 per hour to rent a kayak.

it costs $81 per hour to rent a kayak.

it costs $24 per hour to rent a kayak.

question 3

c. how much does it cost to rent the kayak for 5 hours?

it costs $ ? to rent the kayak for 5 hours.

answer: i believe it’s 245.04

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form