Question

(WILL AWARD BEST ANSWER) Is the relationship shown by the data linear? If so, model the data with an equation. (Data+Choices in the attached picture)

Answer 1

The relationship shown in this picture is linear. This can be determined by first looking at the x-column, and we can see that every value is continuously increasing by 4. Next, we look at the y-column, and we can see that each y-value is steadily increasing by 5. Since it is not increasing by a factor of 5, it is not exponential, it is linear. After we have determined this, we need to find the slope of the coordinates. To do this, we must take two coordinates - (1, 5) and (5, 10). Then, we need to plug in the respective values into the slope formula, giving us a slope of 5/4. Now, we take the first coordinate point in the table, (1, 5). Now, just put all the derived information into point-slope form, which gives us y - 5 = 5/4(x - 1). Therefore, the answer to your problem is B) The relationship is linear; y - 5 = 5/4(x - 1). Hope this helped!