Iwill marked brainliest if you could answer this! a business uses straight-line depreciation to determine the value of an automobile over a 6-year period. suppose the original value (when t=0) is equal to $17,400 and the salvage value (when t=6) is equal to $3000. write the linear equation that models the value, s, of this automobile at the end of year t.
s = -2400t + 17400
Let's say t is the x value on a coordinate plane, and s is the y. Then, we have the points (0, 17400) and (6, 3000). The slope of these is 14400/-6 or -2400.
Now we just have the equation y = -2400x + b, and from the point (0, 17400) we can find that b is 17400. So, we have y = -2400x + 17400. Convert these back into t and s and you get your answer, s = -2400t + 17400.
Since it is a case of depreciation, there for the rate of change in the price of automobile should be negative.
The rate of change of this linear function is given by:-
Thus, the original value of automobile depriciates by rate of $2400 per year.
The the linear equation that models the value, s, of this automobile at the end of year t is given by:-