Question

Slope in Real-World Problems Quick Check

3 of 53 of 5 Items

Question
A linear graph of parking fees in dollars based on hours parked has the points (2,20) and (6,44) . How would you interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking?(1 point)
Responses

The parking fee rises by $7.33 with each additional hour.
The parking fee rises by $7.33 with each additional hour.

The parking fee rises by $6 with each additional hour.
The parking fee rises by $6 with each additional hour.

The parking fee rises by $8 with each additional hour.
The parking fee rises by $8 with each additional hour.

The parking fee rises by $10 with each additional hour.
The parking fee rises by $10 with each additional hour.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The parking fee rises by $6 with each additional hour.

Answer 2

Use the image to answer the question.

A coordinate plane shows the x-axis, labeled as hours, ranging from 0 to 6 in increments of 1 and the y-axis, labeled as gallons, ranging from 0 to 240 in increments of 20. A line segment joins four plotted points. The coordinates of the plotted points are left parenthesis 0 comma 200 right parenthesis, left parenthesis 1 comma 160 right parenthesis, left parenthesis 3 comma 80 right parenthesis, and left parenthesis 5 comma 0 right parenthesis.

The graph shows the number of gallons in a wading pool that is being drained. Using the points (1,160) and (3,80) as (x1,y1) and (x2,y2) , what is the rate of change in the number of gallons in the pool after each hour has passed?

(1 point)
Responses

−40 gal./hr.
negative 40 gal./hr.

140 gal./hr.
Start Fraction 1 over 40 End Fraction gal./hr.

−140 gal./hr.
negative Start Fraction 1 over 40 End Fraction gal./hr.

40 gal./hr.
40 gal./hr.

Answer 3

[AI-generated answer — Bot GPT 3.5]

−40 gal./hr.

negative 40 gal./hr.

Answer 4

Which formula can be used to find the slope of a line from two points (x1,y1) and (x2,y2) ?(1 point)

Responses

y2+y1x2+x1
Start Fraction y subscript 2 baseline plus y subscript 1 baseline over x subscript 2 baseline plus x subscript 1 baseline End Fraction

x2−x1y2−y1
Start Fraction x subscript 2 baseline minus x subscript 1 baseline over y subscript 2 baseline minus y subscript 1 baseline End Fraction

y2y1−x2x1
Start Fraction y subscript 2 baseline over y subscript 1 baseline End Fraction minus Start Fraction x subscript 2 baseline over x subscript 1 baseline End Fraction

y2−y1x2−x1
Start Fraction y subscript 2 baseline minus y subscript 1 baseline over x subscript 2 baseline minus x subscript 1 baseline End Fraction

Answer 5

[AI-generated answer — Bot GPT 3.5]

y2−y1x2−x1

Start Fraction y subscript 2 baseline minus y subscript 1 baseline over x subscript 2 baseline minus x subscript 1 baseline End Fraction

Answer 6

?

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for the incorrect response earlier. The correct formula to find the slope of a line from two points (x1, y1) and (x2, y2) is:

y2 - y1 / x2 - x1

Thank you for your patience.