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. what are the slopes of each of the lines? zoe: d = 15 + 10x the slope of zoe’s line is blank. chloe: d = -20 + 10x the slope of chloe’s line is blank.

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. In the context of these equations, for Zoe's equation \(d=15 + 10x\) (where \(d\) is the dollars in the account and \(x\) is the number of hours) and Chloe's equation \(d=- 20+10x\), we can compare them to the slope - intercept form \(y=mx + b\).

Step2: Identify the slope for Zoe

For Zoe's equation \(d = 15+10x\), comparing with \(y=mx + b\), we can see that \(m = 10\). So the slope of Zoe's line is 10.

Step3: Identify the slope for Chloe

For Chloe's equation \(d=-20 + 10x\), comparing with \(y = mx + b\), we can see that \(m = 10\). So the slope of Chloe's line is 10.

Answer:

The slope of Zoe's line is 10. The slope of Chloe's line is 10.