bo and Luke are driving to uncle Jesse's house their car at the generally can go nearly 208 miles on 13 gallons of gas they only have 3 gallons of gas left in the tank but they are 42 miles away from uncle Jesse's house how far can the generally go on 3 gallons of gas in its tank

48 miles

Step-by-step explanation:

What we must do is calculate the car's performance, that is, the number of miles per gallon of gas, like this:

208/13 = 16

which means that for each gallon of gas you can travel a total of 16 miles.

They tell us they have 3 gallons of gasoline left so they can go:

16 * 3 = 48

If your goal is 42 miles away, that means you can make it and you still have 6 more miles to go.

, 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

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph