Question

Melinda works at a cafe. Each day that she works, she records x, the total dollar amount of her customers’ bills and then y, her total daily wages. The table shows her data for 2 weeks.


According to the line of best fit, what is the minimum amount, to the nearest dollar, Melinda will earn for each day of work, even if she serves no customers?

$18
$26
$36
$40

Answer 1

Answer:

$26

Step-by-step explanation:

From graph it is clear that these below two point lies on line of best fit

x = 80   y = 40

x = 165  y = 55

Slope of the line =  (y₂ - y₁)/(x₂ - x₁)

= (55-40)/(165-80)

= 15/85

= 3/17

y = mx + c

y = 3x/17 + c

40 = 3*80/17 + c

=> 680 = 240 + 17c

=> 440 = 17c

=> c = 440/17

=> c = 25.88 ≈ 26

for x = 0 y = c = 26

So According to the line of best fit, the minimum amount, to the nearest dollar, Melinda will earn for each day of work, even if she serves no customers = $26