Adam’s father is 3 times as old as Adam. Two years ago, Adam was 15 years old. How old will his father be in 5 years?
1 answer:
Answer: 56 years
Step-by-step explanation:
Let Adam's age be , since the father is 3 times as old as him , then the father will be
.
Two years ago
Adam =
Father =
since Adam was 15 years old 2 years ago , this means that
add 2 to both sides
Therefore , Adam is presently 17 years old , then the father will be 3(17) years , which means that the father is presently 51 years old.
In 5 years time , the father will be 51 + 5 years old. That is , the father will be 56 years old in 5 years time
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Answer:
Step-by-step explanation:
We first need to determine the equation of the line.
Thus, we will need to find our slope first. To do so, we need to pick two points from the line. We can use (0, 5) and (3, 1).
Now, we can use the slope formula. Therefore:
Let (0, 5) be (x₁, y₁) and let (3, 1) be (x₂, y₂). Substitute appropriately:
Therefore, our slope is -4/3.
Now, we can use the slope-intercept form:
Where m is our slope and b is the y-intercept.
We already determined that the slope is -4/3.
And (0, 5) tells us that the y-intercept is 5. Therefore, substitute:
Finally, we need to determine our inequality sign.
Notice that our line is dotted. Hence, we do not need “or equal to.”
Also, the blue shaded region is below our line. Therefore, y must be less than our equation.
Hence, our sign is less than.
Therefore, our equation is: