Kendra’s age is half the age of Justin. Kendra is 13 years old. Which of the following equations represents Justin’s age, a ?(1 point) Responses 12a = 13 Start Fraction 1 over 2 End Fraction a equals 13 13a = 2 13 a equals 2 2a = 13 2 a equals 13 a + 12 = 13
The correct equation representing Justin's age is "2a = 13".
The correct equation that represents Justin's age, a, is:
a + 12 = 13
To determine which equation represents Justin's age, we need to understand the relationship given in the question. It states that Kendra's age is half the age of Justin, and that Kendra is 13 years old.
To find Justin's age, we can set up the equation:
Justin's Age = 2 * Kendra's Age
Since Kendra's age is given as 13, we can substitute it into the equation:
Justin's Age = 2 * 13 = 26
Therefore, Justin's age is 26. Now, we can check which equation represents this age:
a + 12 = 13
If we substitute Justin's age (26) into this equation, we get:
26 + 12 = 38 ≠ 13
So, the equation a + 12 = 13 does not represent Justin's age.
Now, let's check the other equations:
12a = 13
This equation implies that Kendra's age (13) is equal to 12 times Justin's age. If we substitute Kendra's age into this equation, we get:
12 * 26 = 312 ≠ 13
So, the equation 12a = 13 does not represent Justin's age.
13a = 2
This equation implies that Kendra's age (13) is equal to 2 times Justin's age. If we substitute Kendra's age into this equation, we get:
13 * 26 = 338 ≠ 2
So, the equation 13a = 2 does not represent Justin's age.
2a = 13
This equation represents that Justin's age is twice Kendra's age. Let's substitute Kendra's age into this equation:
2 * 13 = 26 = 13
So, the equation 2a = 13 represents Justin's age.
Therefore, the correct equation representing Justin's age is 2a = 13.