terrell is a tech geek and loves his new smartphone, but he is frustrated by how slowly the battery charges…

terrell is a tech geek and loves his new smartphone, but he is frustrated by how slowly the battery charges. after coming home from school, terrell notices that the battery level is low, so he plugs in his phone to charge the battery. this table shows the relationship between the total time (in hours) that terrell charges his phone, x, and the battery level (as a percent of its full capacity), y. according to the values in the table, do x and y have a proportional relationship? yes no

terrell is a tech geek and loves his new smartphone, but he is frustrated by how slowly the battery charges. after coming home from school, terrell notices that the battery level is low, so he plugs in his phone to charge the battery. this table shows the relationship between the total time (in hours) that terrell charges his phone, x, and the battery level (as a percent of its full capacity), y. according to the values in the table, do x and y have a proportional relationship? yes no

Answer

Explanation:

Step1: Recall the condition for proportional relationship

For a proportional relationship (y = kx) (where (k) is a constant), (\frac{y}{x}) should be the same for all pairs of (x) and (y) values.

Step2: Calculate (\frac{y}{x}) for each pair

  • When (x = 1,y=19), (\frac{y}{x}=\frac{19}{1}=19)
  • When (x = 2,y = 29), (\frac{y}{x}=\frac{29}{2}=14.5)
  • When (x=3,y = 39), (\frac{y}{x}=\frac{39}{3}=13)
  • When (x = 4,y=49), (\frac{y}{x}=\frac{49}{4}=12.25)

Since (\frac{y}{x}) is not constant for all pairs of (x) and (y) values.

Answer:

no