Which function has lowest rate of change?

Question

5x – 2y = 15 (or) Cost of 5 pencils is 15 dollars
Algebraic Function
Verbal Description
Both the functions
None of the choices

Answer 1

To determine the lowest rate of change, we need to compare the slopes of the two functions.

The given algebraic function is 5x - 2y = 15. To find the slope, we can rearrange the equation into slope-intercept form, y = mx + b, where m is the slope.

In this case, we have 5x - 2y = 15, so -2y = -5x + 15. Dividing both sides by -2, we get y = (5/2)x - 15/2.

From this equation, we can see that the slope is 5/2.

On the other hand, the given verbal description "Cost of 5 pencils is 15 dollars" does not provide enough information to determine a numerical rate of change.

Therefore, the algebraic function 5x - 2y = 15 has the lowest rate of change among the given options.