HELP PLEASE The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 4 buses with 349 students. High School B rented and filled 11 vans and 12 buses with 683 students. Each van and each bus carried the same number of students.

Let x = number of students in each van

y = number of tudents in each bus

Equation 1: 13x+4y=349

Equation 2: 11x+12y=683

Part A: Which method will you use to solve this problem? (Graphing (Rewrite equations in slope intercept form first), Substitution, or elimination) ATTACH YOUR WORK

Part B: How many students can a van carry?

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

no i do not : ( what is it?

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

it is 10.6 according to my calculations