$4 / 8 = 50 cents per pen
.5 * 5 = 2.50
.5 * 3 = 1.50
Ivan pays $2.50 and Jeff pays $1.50
By definition we have that the average rate of change of the function is:

Evaluating the function for the complete interval we have that the AVR is given by:

Rewriting we have:

Simplifying the expression we have:


Answer:
the average rate of change of the function defined by the table is:

f(x) = -5x^2 - x + 20;
f(3) = -5*3^2 - 3 + 20 = -5*9 - 3 + 20 = -45 - 3 + 20 = -28;
Step 1: Simplify both sides of the inequality.
2 x − 3 > − 5 x + 11
Step 2: Add 5x to both sides.
2 x − 3 + 5 x > − 5 x + 11 + 5 x
7 x − 3 > 11
Step 3: Add 3 to both sides.
7 x − 3 + 3 > 11 + 3
7 x > 14
Step 4: Divide both sides by 7.
7 x
7 > 14
7
x > 2