Question

In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the company’s production for the coming year, v, with respect to the number of days, d.

The rate of change of the function representing the number of vehicles manufactured for the coming year is______ , and its graph is a______ . So, the function is a_______ function.

First blank options: Constant, Not Constant

Second blank options: Straight line, Curve

Third blank options: Decreasing, Linear, Nonlinear

Answer 1

Not constant,straight line,linear

Explanation:

Given that in the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day.

v=150d, where v = production of vehicles and d =no of days

Rate of change = v' =150

(because each day increase results in 150 vehicles more)

Since increasing this is an increasing function.

Since both v and d have degree 1 in the equation we have

this is a linear or a straight line.

Hence the answers are:

he rate of change of the function representing the number of vehicles manufactured for the coming year is__Not constant____ , and its graph is a__straight line____ . So, the function is a___linear____ function.

Answer 2

Given:
v = 150d

v represents company's production for the coming year
d represents the number of days
150 is the daily production

The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.