Answer:
The y-intercept of the equation is 50
Its interpretation in the context is " the initial charge for the rental "
Step-by-step explanation:
The linear relationship can be represented by the equation
y = a x + b, where
- a is the slope ( the rate of change)
- b is the y-intercept (initial amount, or fixed amount, or the amount of y at x = 0)
∵ Serenity is moving and must rent a truck
∵ There is an initial charge for the rental
∴ b represents the initial charge for the rental
∵ There is a fee per mile driven
∴ a represents the fee per mile driven
∵ The equation represents this situation is C = 50 + 2.75 m
∵ C is the total cost
∵ m is the number of miles driven
→ Compare it with the form of the equation above
∴ a = 2.75
∴ b = 50
∵ b is the y-intercept
∴ The y-intercept of the equation is 50
∵ b represents the initial charge for the rental
∴ The initial charge for the rental is $50
∴ Its interpretation in the context is " the initial charge for the rental "
