Question

Assume a 115 pound person burns 36 calories after 12 minutes of walking and 54 calories after 18 minutes of walking.
Part 1 (2 points): Use calories as the y-coordinate and minutes as the x-coordinate. After writing two ordered pairs, find the slope. What does the slope represent in terms of the information provided?

Part 2 (2 points): Write an equation, in slope intercept form, to represent this data.

Part 3 (2 points): How many calories will this person burn after 35 minutes of walking? Using complete sentences, explain how the equation, slope, or graph can help to predict calories

Answer 1

(12,36) and (18,54)

m=y2-y1/x2-x1

54-36/18-12=18/6=3

3 or 3/1 is the slope.

y=3x+b

36=3(12)+b
36=36+b
-36-36
0=b

check:

54=3(18)+b
54=54+b
-54-54
0=b

y=3x+0

35=3x+0
35=3x
-- ---
3 3

11.667=x

(11.667,35)

Answer 2

which is part 1 2 and 3?

Answer 3

Part 1

(12,36) and (18,54)

m=y2-y1/x2-x1

54-36/18-12=18/6=3

3 or 3/1 is the slope.

y=3x+b

Answer 4

ok

Answer 5

Part 2

36=3(12)+b
36=36+b
-36-36
0=b

check:

54=3(18)+b
54=54+b
-54-54
0=b

y=3x+0

Answer 6

Part 3

35=3x+0
35=3x
-- ---
3 3

11.667=x

(11.667,35)