Answer:
Amount charged for 35 miles is $ 38.75
If amount charged is $ 42.50 then distance travelled is 50 miles
Step-by-step explanation:
Equation that represents the cost is 
Here,
x denotes the number of miles
$ 30 is the amount of rent per week
$ 0.25 is amount charged for 1 mi
To find cost if distance travelled is 35 miles, put
in 
Cost (y) = 
So,
Amount charged for 35 miles is $ 38.75
To find number of miles for which amount charged is $ 42.50, put
in 

So,
if amount charged is $ 42.50 then distance travelled is 50 miles.
The limit of f(x) as x goes to 2 is given by:
C. 0.
<h3>What is a limit?</h3>
A limit is given by the value of function f(x) as x tends to a value a, that is, we have to look to the left of x = a and to the right of x = a, and if these values are equal, this is the limit of the function.
In this problem, we have that:
- To the left of x = 2, f(x) approaches 0.
- To the right of x = 2, f(x) approaches 0.
Since the lateral limits are equal, the limit of the function as x approaches 2 is of 0 and option C is correct.
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The coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.
<h3>How to explain the information?</h3>
We have a line segment: XY with end coordinates X(1, -2) and Y(10, 3)
The coordinate for the point M:
x = (1+50)/6 = 51/6
y = (-2+15)/6 = 13/6
Thus, the coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.
Learn more about the segment here:
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The cities are 9.6 inches apart on map.
Step-by-step explanation:
Given,
80 miles in actual = 0.75 inch
1 mile = 
Distance between two cities = 1025 miles
1025 miles on map = 

The cities are 9.6 inches apart on map.
Keywords: distance, multiplication
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Answer:
Neither
Step-by-step explanation:
The slope of PQ is -3.
The slope of RS is 3.
Parallel lines have the same slope. The slopes for perpendicular lines are the opposite of the reciprocal. PQ and RS are intersecting lines, but not parallel or perpendicular.