Question

. Giselle pays $190 in advance on her account at the athletic club. Each time she uses the club, $10 is deducted from the account. Model the situation with a linear function.
A. b = 180 – 10x
B. b = 190 + 10x
C. b = 180 + 10x
D. b = 190 – 10x

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

Given,

Amount Giselle pays in advance on her account = $190,

Amount deducted from the account, each time club is used = $10.

To find,

Linear function to model the situation.

Solution,

Firstly, let the variable representing the amount remaining in Giselle's account be 'b', and, the number of times Giselle uses the club be 'x', according to the options.

Now, it can be seen that the amount remaining in her account (b) should be

= [the amount she paid in advance - (number of times club used)×(amount deducted each time club is used)]     ...(1)

Here, the amount paid in advance is $190, and,

the amount deducted each time using club = $10.

So, from eq. (1),

b = 190 - (x)·(10)

⇒ b = 190 - 10x, which is the required function.

Therefore, the linear function to model the given situation is, b = 190 - 10x. (option D)