Emily designed a robot that could climb down steps. she drew a graph to show the results from a test of her new robot. the graph shows the number of steps remaining over time.

what is the equation that represents emily’s situation?

y=110x+15y=110x+15

y=−10x+150y=−10x+150

y = 10x + 150

y=−110x+15y=−110x+15
first quadrant grid, x-axis numbered 0 to 150 and labeled seconds, y-axis numbered 0 to 19 and labeled steps. a line with negative slope intersects the y-axis at 15 and the x-axis at 150.

So youre a given two points. The points (0,15) and (150,0). First solve the slope of the graph

M = (y1 – y2) / (x1 – x2)

M= (15 – 0) / ( 0 – 150)

M = - 0.1

Using point (15,0)

15 = -0.1(0) + b

15 = b

So y = mx + b

Y = -0.1x + 15 

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.