Daniel is planning to rent a car for an upcoming four-day business trip. the car rental agency charges a flat fee of $29 per day plus $0.12 per mile driven. daniel plans to drive 140 miles on day 1 of his trip, 15 miles on day 2, 15 miles on day 3, and 140 miles on day 4. what are daniel’s total variable costs for the car rental?

$37.2

Step-by-step explanation:

It is given that the car rental agency charges a flat fee of $29 per day plus $0.12 per mile driven.

Fixed cost = $29 per day

Variable cost = $0.12 per mile driven

Daniel plans to drive 140 miles on day 1 of his trip, 15 miles on day 2, 15 miles on day 3, and 140 miles on day 4.

Total distance cover by Daniel in these 4 days is

Total variable cost = Variable cost per mile × Total distance

Therefore, the daniel’s total variable costs for the car rental is $37.2.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

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