Question

Rowan has $50 in a savings jar and is putting in $5 every week. Jonah has $10 in his own jar and is putting in $15 every week. Each of them plots his progress on a graph with time on the horizontal axis and amount in the jar on the vertical axis. Which statement about their graphs is true?
(1) Rowan's graph has a steeper slope than Jonah's.(2) Rowan's graph always lies above Jonah's.(3) Jonah's graph has a steeper slope than Rowan's.(4) Jonah's graph always lies above Rowan's.

Answer 1

Answer:

(3) Jonah's graph has a steeper slope than Rowan's

Step-by-step explanation:

First we are going to write the equations for the amount of money that each one save

y = a+bx

 Where y: Amount of money in the jar

             a: Initial saving

             b: Money saved every week ( graph's slope )

             x: Number of week

Then, for Rowan

y = 50 + 5x

and for Jonah

y = 10 + 15x

Initially Rowan's graph lies above Jonah's graph but this situation change with time.

It is always true that Jonah's graph has a steeper slope than Rowan's, because for Rowan's graph the slope is 5 and for Jonah's graph the slope is 15

Then the answer is:  

(3) Jonah's graph has a steeper slope than Rowan's