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

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 "

Something that is true about that is that it has numbers

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.