Question

Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using the function d(h)=55h+10, where h is the number of hours they have been driving on the highway.
1) Explain why the relationship between total distance and hours is a function.

2) Is this function continuous or discrete? Explain how you know.

3) If the girls can drive a maximum of 8 hours, what is the domain for the function? Explain your answer.

4) If the girls can drive a maximum of 8 hours, what is the range for the function? Explain your answer.

5) Create a graph that models this function. Be sure to include a title and to label your x- and y-axis with the variable names, but just x and y.

6) What is the slope of the function? What does it represent?

7) What is the y-intercept? What does it represent?

Answer 1

The total distance is an illustration of a linear function.

(1) Why the relationship is a function

The relationship is a function because all input values of h, have exactly one corresponding output value of d

(2) The function type

The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)

(3) The domain for a drive of 8 hours

The domain is the set of time the girls drive.

So, the domain is: [0,8]

(4) The range

The function is given as:

$d = 55h +10$

When h = 0,

$d = 55(0) +10 = 10$

When h = 8,

$d = 55(8) +10 = 450$

So, the range is: [10,450]

(5) The graph

See attachment

(6) The slope

A linear function is represented as:

$y = mx + c$

Where:

m represents the slope.

So, by comparison:

$Slope = 55$

The slope in this case represents the distance travelled per hour

(7) The y-intercept

In (6) above, c represents the y-intercept.

So, by comparison:

$c = 10$

The y-intercept in this case represents the initial distance

Read more about linear functions at

brainly.com/question/15602982