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 <u>factor</u> 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!
To solve this one we will subtract how much he spends from what he has. At the start he had 19 and then spent 8 meaning he now has 8 less than when we started so 19-8 is 11. He now as 11 dollars, then he spend another 4 meaning we have to subtract another 4 dollars. 11-4 is 7. So he as 7 dollars left at the end.
I hope this helps and please don't hesitate to ask if there is anything still unclear!
