Question

4
select the correct answer from each drop - down menu.
let a(x) be the amount of money remaining on hillary’s gift card after purchasing x apps on her phone.
$a(x)=50 - 1.25x$
since $a(12)=\boldsymbol{65\boldsymbol{\downarrow}}$, hillary will have $\boldsymbol{35\boldsymbol{\downarrow}}$ dollars remaining on her card after purchasing $\boldsymbol{12\boldsymbol{\downarrow}}$ apps.

Explanation:

Step1: Substitute x = 12 into a(x)

We have the function \( a(x) = 50 - 1.25x \). To find \( a(12) \), we substitute \( x = 12 \) into the function.

Step2: Calculate the value

$$
LATEXBLOCK0
$$

So the correct value of \( a(12) \) is 35, meaning after purchasing 12 apps, Hillary has 35 dollars remaining. The initial wrong value of 65 was incorrect; the correct calculation gives 35.

Answer:

For the first drop - down (value of \( a(12) \)): 35
For the second drop - down (dollars remaining): 35
For the third drop - down (number of apps): 12 (the number of apps is still 12 as given, but the amount remaining is calculated as 35)