Question

The equation y = 8z + 50 models the cost y for 2 members of the art club to go to a museum,including the shared cost of hiring a tour guide for $50. Which statement must be true?АIt will cost $240 altogether it 30 members go.BIt will cost $130 altogether it 10 members go.8 members of the art club will go to the museum.D50members of the art club will go to the museum.

Answer 1

`y=8x+50`

According to the information given, the equation allow us to know the cost for x members to go to the museum not how many will go. For that reason option C and D cannot be true unless a fix cost was given too.

Then using the equation we can find the cost for 30 and 10 members and select the statement that is true.

`\begin{gathered} y=8\cdot(30)+50 \\ y=240+50 \\ y=290 \end{gathered}`
`\begin{gathered} y=8\cdot(10)+50 \\ y=80+50 \\ y=130 \end{gathered}`

The statement that is true is b, the costr for 10 members is $130.