The total price of apples (y) at an orchard can be calculated with the equation y=1.25x+5, where x is the number of pounds of ap
1 answer:
Given:
The total price of apples (y) at an orchard can be calculated with the equation
where, x is the number of pounds of apples picked.
To find:
The interpretation of slope for the given situation.
Solution:
The slope intercept form is
...(i)
where, m is slope and b is y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope = 1.25.
We know that, y is total price of x pounds of apples picked and slope is change in y with respect to x.
Therefore, the slope of the given equation is 1.25 and it means the price increased by 1.25 for each additional pounds of apples.
You might be interested in
Answer:
The equation of the bike path on a coordinate map is represented by .
Step-by-step explanation:
From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:
Where:
,
- Components of known point, dimensionless.
- Slope of the parallel line, dimensionless.
In addition, a line has also this form:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
Given that parent function is , the slope of the resulting line is
. Now, if
and
, we obtain the equation of the line:
The equation of the bike path on a coordinate map is represented by .