Question

The function f is given by f(x) = 10x + 3 and the function g is given by g(x) = 2×. For each question, show your reasoning

1. Which function reaches 50 first

Answer 1

To determine which function reaches 50 first, solve the equations f(x) = 50 and g(x) = 50 separately and compare the values of x. f(x) reaches 50 first at approximately x = 4.7, while g(x) reaches 50 at x = 25. Therefore, f(x) reaches 50 first.

Step-by-step explanation:

To determine which function reaches 50 first, we need to solve the equations f(x) = 50 and g(x) = 50 separately.

For f(x):

Given f(x) = 10x + 3, we set it equal to 50 and solve for x:

10x + 3 = 50

10x = 47

x = 47/10

x ≈ 4.7

For g(x):

Given g(x) = 2x, we set it equal to 50 and solve for x:

2x = 50

x = 50/2

x = 25

Comparing the values of x for f(x) and g(x), we can see that f(x) reaches 50 first, as it reaches 50 at approximately x = 4.7, whereas g(x) reaches 50 at x = 25. Therefore, the function f(x) reaches 50 first.