Question

north shore kayak and south shore kayak each charge a flat fee plus an hourly rate. the graph shows y, the cost in dollars, for renting a kayak from each company for x hours
kayak rental
south shore
$y = 6x + 10$
north shore
$y = 12x + 4$
which statement about the companies is true?
show hints
$circ$ the flat fee is higher for north shore than for south shore
$circ$ south shore costs more when renting a kayak for 2 hours
$circ$ the companies cost the same when renting a kayak for 1 hour
$circ$ the companies have the same hourly rate

Explanation:

Step1: Identify flat fees (x=0)

For North Shore: $y=12(0)+4=4$
For South Shore: $y=6(0)+10=10$

Step2: Calculate 2-hour cost

North Shore: $y=12(2)+4=28$
South Shore: $y=6(2)+10=22$

Step3: Calculate 1-hour cost

North Shore: $y=12(1)+4=16$
South Shore: $y=6(1)+10=16$

Step4: Identify hourly rates

North Shore rate: $12$; South Shore rate: $6$

Answer:

The companies cost the same when renting a kayak for 1 hour