The total deposit and rent collected by an apartment manager for one resident are given by the equation t = 350 + 700m, where m is the number of months the resident has lived there. Is this model of the situation linear? If it is, what are the slope and the y-intercept?

A. linear: slope = 350, y-intercept = 700

B. linear: slope = 700, y-intercept = 350

C. linear: slope = 2, y-intercept = 350

D. not linear

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

The total deposit and rent collected by an apartment manager for one resident are given by the equation t = 350 + 700m, where m is the number of months the resident has lived there. Since the equation is in the form of a linear equation it can be concluded that the model is linear.

Comparing the equation with a linear equation,

t = 350 + 700m

y = C + mx

The slope of the equation is 700, while the y-intercept is 300.

Hence, the correct option is B.

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