Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 times as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.

Julie buy pounds of turnips.

Step-by-step explanation:

We are given that Julie bought a bag of parsnips that weighed () pounds. She also bought a bag of turnips that weighed () times as much as the parsnips.

We have to find how many pounds of turnips did Julie buy.

Firstly, the weight of a bag of parsnips that Julie bought = = pounds

Now, it is stated that she bought a bag of turnips that weighed () times as much as the parsnips, that means;

Weight turnips bag =

                              =

                              =

So, Julie buy pounds of turnips.

, 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

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).