Question

nate starts with 5 dollars in his account. he earns 10 dollars per hour mowing lawns and deposits the earnings into his account. tamia starts with -15 dollars in her account. she earns 10 dollars per hour mowing lawns and deposits the earnings into her account. which equation represents each line? nate: tamia: d = -15 + 10x d = 5 + 10x d = 10 + 5x

Explanation:

Step1: Analyze Nate's Account

Nate starts with $5$ dollars (initial value, y - intercept) and earns $10$ dollars per hour (slope). The slope - intercept form of a line is $d=mx + b$, where $m$ is the slope and $b$ is the y - intercept. For Nate, $m = 10$ and $b = 5$. So the equation is $d=5 + 10x$.

Step2: Analyze Tamia's Account

Tamia starts with $- 15$ dollars (initial value, y - intercept) and earns $10$ dollars per hour (slope). Using the slope - intercept form $d=mx + b$, for Tamia, $m = 10$ and $b=-15$. So the equation is $d=-15 + 10x$.

Answer:

Nate: $d = 5+10x$
Tamia: $d=-15 + 10x$