Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

zoe starts with 15 dollars in her account. she earns 10 dollars per hou…

Question

zoe starts with 15 dollars in her account. she earns 10 dollars per hour babysitting and deposits the earnings into her account. chloe starts with -20 dollars in her account. she earns 10 dollars per hour babysitting and deposits the earnings into her account. which equation represents each line? zoe: chloe: d = 15 + 10x, d = 10 + 15x, d = -20 + 10x

Explanation:

Step1: Analyze Zoe's Account

Zoe starts with $15$ 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 Zoe, $m = 10$ (dollars per hour) and $b=15$ (initial dollars). So the equation for Zoe is $d = 15+10x$.

Step2: Analyze Chloe's Account

Chloe starts with $- 20$ dollars (initial value, y - intercept) and earns $10$ dollars per hour (slope). Using the slope - intercept form $d=mx + b$, with $m = 10$ and $b=-20$, the equation for Chloe is $d=-20 + 10x$.

Answer:

Zoe: $d = 15+10x$
Chloe: $d=-20 + 10x$