Rate of change questions. how do i answer these 2 questions? (with picture) !

Question 2

1.20

To get this answer, you divide the total amount of royalties (300) over the number of books (250) to get 300/250 = 1.20

Another way to see this is through the ratio of

300 dollars: 250 books

then you divide both parts of that ratio by 250 so that the "250 books" turns into "1 book" like so...

300 dollars: 250 books

300/250 dollars: 250/250 books

1.20 dollars: 1 book

Indicating that his royalties per book is 1.20 dollars. The rate of change is often expressed as a unit rate, meaning that we want the royalties for 1 book (which then scales up).

Question 3

slope is -1/10 or -0.1; slope tells us how much the candle height is decreasing each minute, y intercept is the starting candle height (see below for further explanation)

Explanation:

The y intercept is at 25, as this is where the diagonal line crosses the vertical y axis. Similarly, the x intercept is 250. The y and x intercept lead to the two points (0,25) and (250,0). Let's use the slope formula to find the slope of the line through these two points

m = (y2 - y1)/(x2 - x1)

m = (0 - 25)/(250 - 0)

m = -25/250

m = -1/10

m = -0.1

The slope of the line is -1/10 or the decimal equivalent -0.1

What does the slope tell us? It tells us how much of the candle's height is changing as each minute ticks by. Specifically, the slope -0.1 means that the candle height is going down by 0.1 cm for each minute gone by. A shorter way to say this is to say "the height is decreasing by 0.1 cm per minute" (think of it like a speed such as miles per hour)

The y intercept is the starting height of the candle due to the fact that x = 0 here. Therefore, the starting height of the candle is 25 cm.

Side note: the x intercept of 250 tells us how long the candle burns for, which in this case is 250 minutes (4 hrs, 10 min) because y = 0 for the x intercept, and y is the height of the candle at time x. Anything beyond x = 250 is not possible in realistic sense as we can't have a negative y height value.

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63