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.

Question

Brodie

Mathematics

18 February, 17:23

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.

+2

Answers (1)

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Fresier · Answer 1

(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