Answer:
To evaluate the expression when x = 10.9, let's break down the steps:
Step 1: Substitute the value of x into the expression.
0.207 + 2.1^3(x - 7.9)
Step 2: Simplify the expression inside the parentheses.
x - 7.9 = 10.9 - 7.9
Step 3: Calculate the value inside the parentheses.
10.9 - 7.9 = 3
Step 4: Substitute the simplified value back into the expression.
0.207 + 2.1^3(3)
Step 5: Calculate 2.1^3.
2.1^3 = 2.1 * 2.1 * 2.1 = 9.261
Step 6: Substitute the calculated value back into the expression.
0.207 + 9.261(3)
Step 7: Multiply 9.261 by 3.
9.261 * 3 = 27.783
Step 8: Add the two values together.
0.207 + 27.783 = 27.99
Therefore, when x = 10.9, the value of the expression is approximately 27.99.
Explanation: