Arental car agency charges a flat fee of $124.00 plus $45.00 per day to rent a certain car. another agency charges a fee of $36.00 plus $56.00 per day to rent the same car. using a graphing calculator, find the number of days for which the costs are the same. round your answer to the nearest whole day.

x=quantity of days

$38.00+$2.75x=$31.75+$4.00x

We can cancel all $...

38.00+2.75x=31.75+4.00x

It is just as important to cancel symbols as numbers.

Next, we isolate x.

We will begin by subtracting 31.75 from both sides...

-31.75+38.00+2.75x=4.00x

6.25+2.75x=4.00x

Then, we will divide both sides by 4.00...

(6.25/4.00)+((2.75x)/4.00)=(4.00x)/4.00

1.56+0.69x=x

Then, we will subtract 0.69x from both sides...

-0.69x+1.56+0.69x=x-0.69x

1.56=0.31x

Then, we will divide both sides by 0.31...

1.56/0.31=(0.31x)/0.31

5=x

Let's check our numbers...

The original equation was...

$38.00+$2.75x=$31.75+$4.00x

38.00+2.75(5)=31.75+4.00(5)

38.00+13.75=31.75+20.00

51.75=51.75

a

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b