The equation d=3.5t + 50 represents the distance in meters,d, that a cyclist is from his home after t seconds. Which pair of values represents a points on the graph of this equation? Explain your answer.

(10,85) (0,0) (3,60.5)

All you have to do is plug in the points and see if they work. I'll do the first one for you. Try the others the same way. You can post them to get checked if you want.

d=3.5t+50
10=3.5(85)+50
10=347.5
No.

d=3.5+1=

i. (10,85)

d=3.5t+50

3=3.5(60.50)+50
3=211.75+50
3=261.7
No

To determine if each pair of values represents a point on the graph of the equation, we can substitute the values into the equation and check if the equation holds true.

Let's go through each pair of values:

1. (10, 85):
Substituting t = 10 into the equation, we have:
d = 3.5(10) + 50 = 35 + 50 = 85
Since the equation holds true, (10, 85) represents a point on the graph of the equation.

2. (0, 0):
Substituting t = 0 into the equation, we have:
d = 3.5(0) + 50 = 0 + 50 = 50
In this case, the equation does not hold true. d is 50, not 0. Therefore, (0, 0) does not represent a point on the graph of the equation.

3. (3, 60.5):
Substituting t = 3 into the equation, we have:
d = 3.5(3) + 50 = 10.5 + 50 = 60.5
Since the equation holds true, (3, 60.5) represents a point on the graph of the equation.

In summary, the pair of values (10, 85) and (3, 60.5) represent points on the graph of the equation, while (0, 0) does not.

Is this really 8th grade math?