Question

An antique dealer has 24 clock radios to sell at 12 a 12 hour long antique Radio sale use the graph to complete the table why is the sign of a number that is multiplied by hours H negative

Answer 1

R = -H + 24

Explanation:

An antique dealer has 24 clock radios to sell 12 at a 12 hour long antique Radio sale

12 radios are sold in 12 Hour

Table

Hours Radio Available Remaining

0 24

2 22

4 20

6 18

8 16

10 14

12 12

Line of equation R = mH + c

R = Radios Available / Remaining to be sold

H = Hours of Sale passed

m = slope of line

c = constant

H = 0 , R = 24

24 = 0 + c

=> c = 24

R = mH + 24

for H =2 R = 22

22 = 2m + 24

=> m = -1

R = -H + 24

As every passing hour he will be able to sell a radio so number of radios available will keep decreasing so there is a sign of - multiplied by H

24 is the radio available at beginning of sale.

if we plot a graph for Radio sold against hours

then equation would be

R = H ( c = 0 as no radio sold at beginning of sale)