Question

carla starts with -$4 in her account. she earns $12 per hour babysitting and deposits the earnings into her account.
write an equation to represent the relationship between the dollars in carlas account, d, and the number of hours she babysits, x. carla started with -$4 in her account – thats the vertical intercept, and she earned $12 per hour – thats the slope.
vertical intercept: -4
slope: 12
dollars in carlas account = initial amount + earnings from babysitting
-4 = \square + \square

Explanation:

Step1: Identify initial amount

The initial account value is -$4, so this fills the first blank.

Step2: Define earnings term

Earnings are $12 per hour ($x$ hours), so this is $12x$, filling the second blank.

Step3: Form the linear equation

Combine initial amount and earnings to get the total account value $d$.
$d = -4 + 12x$

Answer:

For the blanks:
First blank (initial amount): $\boldsymbol{-4}$
Second blank (earnings from babysitting): $\boldsymbol{12x}$

The full equation: $\boldsymbol{d = -4 + 12x}$