Question

The function y = -3x + 15 represents the distance that a hiker has left to reach his goal, where is the number of hours spent hiking and y is the number of miles After hiking for exactly 3 hours, how many miles does the hiker have left to reach his goal?

Answer 1

Using the linear equation y = -3x + 15, we substitute x with 3 to find that the hiker has 6 miles remaining to reach the goal after 3 hours of hiking.

Step-by-step explanation:

To determine the number of miles a hiker has left to reach their goal after hiking for 3 hours, we use the given linear function y = -3x + 15. Here, x represents the hours spent hiking and y represents the miles remaining. Substituting x with 3 (since the hiker has hiked for 3 hours), the equation becomes:

y = -3(3) + 15

Simplifying the right-hand side, we get:
y = -9 + 15

Then, adding the numbers together:

y = 6

Therefore, after hiking for exactly 3 hours, the hiker has 6 miles left to reach their goal.

Answer 2

After substituting the value of 3 for x in the equation y = -3x + 15, we find that the hiker has 6 miles left to reach his goal after hiking for exactly 3 hours.

Step-by-step explanation:

The student is asking about a linear equation in the context of a real-world problem involving hiking. To find out how many miles the hiker has left to reach his goal after hiking for exactly 3 hours, we need to substitute the value of 3 for x in the equation y = -3x + 15.

Let's perform the substitution:

y = -3(3) + 15

y = -9 + 15

y = 6

So, after hiking for 3 hours, the hiker has 6 miles left to reach his goal.