We can use two data points to find the linear function that relates the two quantities. For example, a linear function relating calories (C) consumed over days(d) can be generated from the following data: -After 3 days 4,100 calories have been consumed. -After 8 days 10,600 calories have been consumed. The slope of this function is and indicates the number of calories consumed each day. The y-intercept of this function is and indicates the calories consumed at day . This function can be modeled by C=

Step-by-step explanation:

Let the number of days be x because x is the independent variable

Any y is the number of calories consumed the dependent variable.

Now slope = y2 - y2/ x2 - x2

= 10600-4100/8-3

= 6500/5 = 1300

From our analysis we know it consumes 1300 per day so ideally on day 3 we expect him to consume 1300x3= 3900

But the given value is 4100

This means it's inherent energy is 4100-3900= 200

This is the y- intercept and it occurs when x= 0

from the above explanation we know that

C = 200. and it's the y- intercept.

Look at the general equation of a line

y = mx + C; when x= 0, y = C; note we define C as the value of y when x = 0

what the question so we can you out

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !