A medical delivery services charges $10 for a house call plus $0.50 per mile. The situation is represented by the equation c=0.5m+10 where m represents the number of miles the delivery is from the office and c represents the cost of the delivery. Calculate the total cost of a medical service delivery if the number of miles driven is 75.5 miles. Write your answer as an ordered pair (m, c).

$47.75

Step-by-step explanation:

Where are given that the cost of medical service delivery is given by the expression

c=0.5m+10

m= the number of miles

when the number of miles is 75.5 mile we want to find the cost

put m=75.5 in the expression

c=0.5(75.5)+10

solving for c we have

c=37.75+10

c=47.75

Therefore the cost will be $47.75 for a distance of 75.5miles

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is