To determine which function has the highest rate of change, we need to compare the rate of change of both functions.
For the algebraic function 2x + 6y = 10:
- We can rewrite it as y = -1/3x + 5/3 in slope-intercept form.
- The slope, or rate of change, in this case, is -1/3.
- Therefore, the rate of change for this function is -1/3.
For the verbal description "Cost of 2 chocolates is 8 dollars":
- We can translate it into an algebraic function as 2c = 8, where c represents the cost of one chocolate.
- We can solve this equation to find that c = 4.
- However, this equation does not have a slope or rate of change since it is a single equation expressing a constant relationship.
Comparing the two functions, we can see that the algebraic function, 2x + 6y = 10, has a rate of change (-1/3) while the verbal description does not have a rate of change. Therefore, the function 2x + 6y = 10 has the highest rate of change.
Which function has highest rate of change?
2x + 6y = 10 (or) Cost of 2 chocolates is 8 dollars.
Algebraic Function
Verbal Description
Both the functions
Neither of the functions
1 answer