Which function has lowest rate of change?
5x – 2y = 15 (or) Cost of 5 pencils is 15 dollars
Algebraic Function
Verbal Description
Both the functions
None of the choices
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.
To determine which function has the lowest rate of change, we need to compare the slopes of the two functions. The slope of a linear function is the coefficient of the variable that is not being isolated.
First, let's rearrange the algebraic function to the slope-intercept form (y = mx + b), where m is the slope:
5x - 2y = 15
To isolate y, we subtract 5x from both sides:
-2y = -5x + 15
Dividing both sides by -2:
y = (5/2)x - 15/2
Comparing the two functions:
1. Algebraic Function: y = (5/2)x - 15/2
2. Verbal Description: Cost of 5 pencils is 15 dollars
Since the verbal description doesn't provide any information to determine its rate of change, we can focus on the algebraic function. The slope of the algebraic function is (5/2), which represents the rate of change.
Therefore, the function with the lowest rate of change is the algebraic function: 5x - 2y = 15.