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Sagot :
Saul is training for a mud-obstacle race. Saul takes in 2,450 calories per day. Because he runs more now,
Saul has been tracking how many calories he burns. Running for 30 minutes burns 354 calories.
Find the slope, y-intercept, and whether the function is increasing or decreasing. Write your response in full sentences
Saul takes 2450 calories per day=
he burns 345 calories running 30 minutes
Step 1
Identify the variables,
the variable y will be the calories Saul burns ( it depends on the time he runs)
the variable x will be the time he runs
Step 2 identify two points.
so, with the data , we can take 2 points.
he burns 345 calories running 30 minutes P1(30,354)
he burns 0 calories when he runs 0 minutes P2(0,0)
Step 3
find the function, first, find the slope of the line
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{354-0}{30-0} \\ m=11.8 \end{gathered}[/tex]so, the slope of the line is 11.8
Step 4
the y intercept is when x =0
so,we need to find the value y, when x=0( in this point the line intercept the y -axis)
and, we define this as (0,0), so the y intercept is x=0, y=0
this is a linear function, the slope is more than 0, so, the function is increasing
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