2. mrs. ferguson is considering reserving a room at the abraham hotel. the abraham hotel charges $239 a night. (a) mrs. ferguson originally planned to spend $1000 for the hotel stay. for how many nights could she book the hotel room? show your work. (b) mrs. ferguson calculates that 6 nights will cost $1450. what is the percent error in mrs. ferguson’s calculation? round to the nearest percent. show your work. (c) mrs. ferguson looked at another hotel. she waited a week before she decided to book nights at that hotel, and now the prices have increased. the original price was $1589. the price for the same room and same number of nights is now $2075. what is the percent increase? round to the nearest percent. show your work. (d) mr. ferguson suggested contacting a travel agent to see whether they could get a lower price. the agent found a price that was 30% lower than $2075. what was the price the travel agent found? show your work.

a) 4 nights

b) 31%

c) 31%

d) $1452.50

Step-by-step explanation:

Abraham Hotel charges per night $239.

a.    Mrs. Ferguson originally planned to spend $1000 for the hotel stay.

Number of nights = $1000/$239 = 4.18 nights

Nights cannot be decimal, so the answer must be whole number.

Mrs.Ferguson can stay 4 nights

b. Here we have to use the formula.

The percent of error = theoretical value – measured value/theoretical value x 100

Percent error = [($1450 – $1000)/$1450]x100

= (450/1450)*100

= 45000/1450

= 31%

c. Percent of increase = (Increase)/original amount * 100

= [($2075 - $1589)/$1589]*100

= (486/1589)*100

= 31%

d.  Now we have to find 30% of 2075

= 30% * 2075

= 0.3 *2075

= $622.5

Now subtract 622.5 from $2075

The price the travel agent found = $2075 - $622.5

=$1452.50

Thank you.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

it would open into a square depending on the type of envelope i’m not sure about the second part