The function y = 5.75 + 2.5(x - 2) can be used to determine cost in
dollars to rent a house of x square feet. What is the rate of change of
the cost in dollars with respect to the number of square feet?

Respuesta :

The rate of change of the cost in dollars with respect to the number of square feet is; 2.5 dollars per square feet.

The function given, y = 5.75 + 2.5(x - 2) can be rewritten so as to resemble the equation of a straight line in slope-intercept form.

  • In essence, y = mx + c

Consequently, the slope, m represents the rate of change of the cost in dollars with respect to the number of square feet.

The function y = 5.75 + 2.5(x - 2) on expansion then becomes;

  • y = 0.75 + 2.5x

where, 2.5 is the slope and consequently, represents the rate of change of the cost in dollars with respect to the number of square feet.

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