Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

A construction crew is extending the length of the center line on a highway. The length of the line starts out as 6 meters long, which is represented on a coordinate plane as the point (0,6). The crew works for 20 minutes and the line is now 17 meters long, which is represented as the point (20,17).

Complete the equation that represents the relationship between x, the number of minutes spent working, and y, the length of the line, in meters.

y =
x +

Answer 1

[AI-generated answer — Bot GPT 3.5]

y = (11/20)x + 6

Answer 2

A line has a y-intercept of and a slope of . Find the equation of the line.

A. y = 5x + 12

B. y = 5x - 12

C. y = 5x - 60

D. y = -12x - 5

Answer 3

[AI-generated answer — Bot GPT 3.5]

The equation for a line is given by y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is -12 and the slope is 5. Plugging these values into the equation, we get:

y = 5x - 12

Therefore, the correct answer is B. y = 5x - 12.

Answer 4

Candice has a dog walking business. It takes her 35 minutes to complete her route with 2 dogs. For each additional dog walked at the same time, it takes her 5 more minutes to complete her route.

If x represents the total number of dogs she walks at the same time, which of the following equations can be used to find out how long it takes Candice to complete her route?
A.
y = 5(x - 2) + 35
B.
y = 35x + 5
C.
y = 35(x - 2) + 5
D.
y = 5x + 35

Answer 5

[AI-generated answer — Bot GPT 3.5]

The equation that can be used to find out how long it takes Candice to complete her route is:

y = 5(x - 2) + 35

Explanation:
Candice starts with 2 dogs, which takes her 35 minutes to complete her route. For each additional dog walked at the same time, it takes her 5 more minutes to complete her route.

The term (x - 2) represents the additional number of dogs walked, as she always starts with 2 dogs. The term 5(x - 2) represents the additional time it takes to walk those additional dogs.

Adding this additional time to the base time of 35 minutes, we get the equation y = 5(x - 2) + 35.

Therefore, the correct answer is A. y = 5(x - 2) + 35.