Question

Dan is driving from his hometown in California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y = 55h + 110

Dan leaves at 1:10 and is traveling at 55 miles per hour.
Dan is 110 miles from home at noon and is traveling at 55 miles per hour.
Dan is 55 miles from home at noon and is traveling at 110 miles per hour.
Dan leaves at noon and is traveling at 110 miles per hour.

Answer 1

Answer:

Dan is 110 miles from home at noon and is traveling at 55 miles per hour

Step-by-step explanation:

Mathematically, we have the general equation of a linear model as;

y = mx + b

m represents the slope of the model

b is the y-intercept of the model

Mathematically, what we have here is that there is a plot of distance against time

Distance is on the y-axis

time is on the x-axis

Now, the coefficient of the x-axis value is the slope

From what we have, the slope value is 55 miles per hour

Now, we have the y-intercept at 110

So, what this mean is that the distance from home is 110

So the correct answer here is that;

Dan is traveling at 55 miles per hour and he is 110 miles away from home