Jayne stopped to get gas before going on a road trip. the tank already had 4 gallons of gas in it. which best describes why the graph relating the total amount of gasoline in the tank, y, to the number of gallons that she added to it, x, will be continuous or discrete? the graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount. the graph will be continuous because we are not told a maximum value for the amount of gas. the graph will be discrete because there are already exactly 4 gallons of gas in the tank, so to fill it up will take a whole number of gallons of gas. the graph will be discrete because there is an end to the amount of gas she can use, as the tank will be completely full at some point.

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which best describes why the graph relating the total amount of gasoline in the tank, y, to the number of gallons that she added to it, x, will be continuous or discrete?

The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.

The graph will be continuous because we are not told a maximum value for the amount of gas.

The graph will be discrete because there are already exactly 4 gallons of gas in the tank, so to fill it up will take a whole number of gallons of gas.

The graph will be discrete because there is an end to the amount of gas she can use, as the tank will be completely full at some point.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for