Write the given sentence as an equation. Tim's age in 7 years will be three times what it was 19 years ago.
The linear function graphed below represents Tim’s age in the years since he was married. Which of these statements is correct?
mc010-1.jpg
The initial value is 22, and the rate of change is 1.
The initial value is 22, and the rate of change is 15.
The initial value is 32, and the rate of change is 1.
The initial value is 32, and the rate of change is 15.
You must first define your variable.
let Jim's present age be x
" Tim's age in 7 years will be three times what it was 19 years ago."
----> x+7 = 3(x-19)
The initial value is 22, and the rate of change is 1.
The initial value is 22, and the rate of change is 15.
The initial value is 32, and the rate of change is 1.
The initial value is 32, and the rate of change is 15.
To write the given sentence as an equation, let's denote Tim's current age as "x".
According to the sentence, "Tim's age in 7 years" can be represented as "x + 7".
And "three times what it was 19 years ago" can be written as "3(x - 19)".
Combining these expressions, we can write the equation as:
x + 7 = 3(x - 19)