Question

The given table and equation represent the cost for carnival rides.

Equation: c = 15.5 + 12f

What ordered pairs are represented in this table? Check all that apply.
(7, 99.5)
15.5 + 12(3)
(75.5, 5)
(3, 51.5)
(123.5, 9)

Answer 1

Answer:

The ordered pairs that are presented are (7, 99.5) and (3, 51.5)

Step-by-step explanation:

We are given the cost function of the carnival rides as

$c=15.5+12f$

which is a typical linear expression of the form $y=ax+b$ where here $y=c$, $f=x$,  $a=12$  and  $b=15.5$. To check if an ordered pair i.e. a point $(x,y)$ , is represented by the table we can simply plug in the equivalent $x$ value in the equation, and check if the result matches the $y$ value.

So, lets assume that all points are given correctly and they are as follow:

$A. (7, 99.5)\\B. (75.5, 5)\\C. (3, 51.5)\\D. (123.5, 9)$

Now let us check each point with our function as follow:

Point A

$(7,99.5)\\\\c=15.5+12(7)\\c=15.5+84\\c=99.5$

So point A is part of the equation.

Point B

$(75.5,5)\\c=15.5+12(75.5)\\c=15.5+906\\c=921.5$

So point B is NOT part of the equation.

Point C

$(3,51.5)\\c=15.5+12(3)\\c=15.5+36\\c=51.5$

So point C is part of the equation.

Point D

$(123.5,9)\\c=15.5+12(123.5)\\c=15.5+1482\\c=1497.5$

So point D is NOT part of the equation.

Answer 2

Answer:

(7, 99.5) and (3, 51.5)

Step-by-step explanation:

A and D