Question

“ The Science Club went on a two-day field trip. The first day the members paid $70 for transportation plus $15 per ticket to the planetarium. The second day they paid $90 for transportation plus $12 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club. An expression that represents the total cost in dollars for two days for the n members of the club is given by .”

Answer 1

Answer:

$x = \ 187n$

Step-by-step explanation:

let x be the total cost in dollars for two days for the n members

Given:

The first day the members paid $70 for transportation plus $15 per ticket to the planetarium.

The second day they paid $90 for transportation plus $12 per ticket to the geology museum.

We need to write an an expression to represent the total cost in dollars for two days for the n members of the club.

Solution:

First day each member pay $70 for transportation and $15 for ticket,

$Cost\ per\ member\ for\ the\ first\ day = transportation\ cost+ticket\ cost$

$Cost\ per\ member\ for\ the\ first\ day = 70+15$

$Cost\ per\ member\ for\ the\ first\ day = \ 85$

Therefore, cost for n members for the first day.

$Cost\ for\ n\ member\ for\ the\ first\ day = \ 85n$

Similarly for the second day each member pay $90 for transportation and $12 for ticket,

$Cost\ per\ member\ for\ the\ second\ day = transportation\ cost+ticket\ cost$

$Cost\ per\ member\ for\ the\ second\ day = 90+12$

$Cost\ per\ member\ for\ the\ second\ day = \ 102$

Therefore, .

$Cost\ for\ n\ member\ for\ the\ second\ day = \ 102n$

Now, we write an expression to represent the total cost in dollars for two days for the n members of the club, so cost for n members for two days is equal to sum of the two days expenses for n members.

$Cost\ for\ n\ member\ for\ the\ two\ day = \ 85 + \ 102n$

$x = \ 85n + \ 102n$

$x = \ 187n$

Therefore, total cost for two days for the n members $x = \ 187n$