Question

Which of the following number lines represents the solution to 0.5x + 7 = 12

a) 15
b) 10
c) 5
d) 0

Answer 1

The equation 0.5x + 7 = 12 is solved by first subtracting 7 from both sides, giving 0.5x = 5. Dividing both sides by 0.5 yields x = 10. Hence, the correct choice is b) 10.

Step-by-step explanation:

First, we need to solve the equation 0.5x + 7 = 12 to find the value of x. Subtract 7 from both sides of the equation to isolate the term containing x:

0.5x + 7 - 7 = 12 - 7

0.5x = 5

Next, divide both sides by 0.5 to solve for x:

0.5x / 0.5 = 5 / 0.5

x = 10

Therefore, option b) 10 is the correct choice for the value of x that satisfies the equation.