Question

After researching beach houses for an upcoming vacation, Josie found the following options. Each beach house charges a non-refundable deposit and a rate per night. HOUSel:"SHORE THIN9" HOUSE 2: "BEACHYCEN" 900 300 y = 100 + 249x 700 600 Total Cost ($) 500 400 y = total cost x = number of nights 300 200 loo 6 7 B 10 Number of Nights HOUSE 3: "SEAS THE DAY" y=230x+ 2 3 4 X (Number of Nights) $115 $345 $575 $805 $1,035 у (Total Cost)

Answer 1

First beach house

Step-by-step explanation:

To determine which of the houses charges the highest, we need to compare the charges

The first one is shown as a graph

The second is shown as an equation

The third is shown as a table and as an equation

First beach house:

when number of night = x = 1

On the graph, we trace the number of nights when it is 1 to the y axis (total cost)

On the graph, the cost = $400

This means the charge per night is $400

Second beach house:

y = 100 + 249x

when x = 1

y = 100 + 249(1)

y = 100 + 249

y = 349

This means the charge per night is $349

Third beach house:

From the table, when the number of night = 1, the cost is $345

This means the charge per night is $345

$400 > $349, $349 < $345

As a result, the beache which charges the highest rate per night is the first beach house