Answer:
Step-by-step explanation:
Table 1 represents a proportional function. Here's how we recognize that: every time x increases by 1, y increases by 8: y = 8x. Note that this function does not have a y-intercept and the relationship is not proportional
Table 2 requires a bit more work to classify. Notice that as x increases from 5 to 7 (a horizontal jump of 2 units), y increases from 5 to 21 (vertical jump of 16 units). Thus, if this is a straight line, the slope is m = rise/run = 16/2 = 8. Let's write a tentative equation for the straight line thru these two points:
y = mx + b becomes 5 = 8(5) + b, or -35 = b. The presence of a non-zero y-intercept is a sure giveaway that this is not a proportional relationship.
