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 vertical intercepts of the lines? zoe: d = 15 + 10x the slope of zoes line is 10. the vertical intercept of zoes line is square. chloe: d = -20 + 10x the slope of chloes line is 10. the vertical intercept of chloes line is square.

Explanation:

Step1: Recall vertical intercept formula

The equation of a line is in the form \( d = mx + b \), where \( b \) is the vertical intercept (y - intercept) when \( x = 0 \) (x represents hours, so at 0 hours, it's the initial amount).

Step2: Find Zoe's vertical intercept

For Zoe's equation \( d=15 + 10x \), when \( x = 0 \) (0 hours of babysitting), \( d=15+10\times0=15 \). So the vertical intercept of Zoe's line is 15.

Step3: Find Chloe's vertical intercept

For Chloe's equation \( d=- 20+10x \), when \( x = 0 \) (0 hours of babysitting), \( d=-20 + 10\times0=-20 \). So the vertical intercept of Chloe's line is - 20.

Answer:

The vertical intercept of Zoe’s line is \( 15 \), the vertical intercept of Chloe’s line is \( -20 \)