Serenity is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. The total cost of renting the truck can be modeled by the
equation C = 50 +2.75m, where m is the number of miles driven. What is the y-
intercept of the equation and what is its interpretation in the context of the problem?

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

∵ 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 "

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: