Question

The equation c = 0.20t +3.50 shows the relationship between the charge, c. in dollars for renting a kayak for t minutes

What is the meaning of the slope?
O Every 0.2 minutes you have to pay $1.
You have to pay $0.20 up front before sing the kayak at all.
For $1.00. you can rent a kayak for 20 minutes,
It costs $0.20 per minute to rent the kayak

Answer 1

O It costs $0.20 per minute to rent the kayak

Explanation:

• c = 0.20t + 3.50
• → $3.50 is the fixed cost
• → $0.20 is the rate per minute use of the kayak
• Option 4

Answer 2

It costs $0.20 per minute to rent the kayak

Explanation:

The equation is a linear equation in the form y = mx + b

• x is the independent variable
• y is the dependent variable
• m is the slope/gradient and tells us the rate of change
• b is the y-intercept and tells us the initial value (when x = 0)

Given equation: c = 0.20t + 3.50

Therefore,

• t is time (in minutes) and is the dependent variable.
• c is the total charge (in dollars) and is the independent variable.
• $0.20 is the slope (rate of change) and tells us that the charge (c) increases by this amount for every increase of 1 unit of the value of t (1 minute).
• $3.50 is the initial charge and is not dependent on the value of t.

Therefore, the meaning of the slope is:

It costs $0.20 per minute to rent the kayak