Question

Week 3: Linear Functions

tranet started riding her bicycle 5 meters from her house. Her friends used a table to record the distance
traveled by Janet in 1-second intervals.
Time (seconds)
0
1
2
3
4
5
6
Distance (meters)
5
6.5
8
9.5
11
12.5
14
Which equation represents the time, x, and distance, y, as shown in the table?
A. y = 1.5x – 5
B. y = 5x - 1.5
C. y = 5x + 1.5
D. y = 1.5x + 5

Answer 1

D. y = 1.5x +5

Explanation:

The offered answer choices are equations in slope-intercept form. The constant in the equation is the y-intercept, the value of distance when time is zero.

y = mx +b . . . . m is slope; b is y-intercept

__

The table tells you that the distance value is 5 when the time value is 0. In the equation, that means ...

b = 5

Only one answer choice matches:

y = 1.5x +5