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1 answer:
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Answer:
They will each have saved $70.
Jessica is saving at a faster rate than Raphael.
The rate at which Jessica is adding to her savings is $4 per week more than the rate at which Raphael is adding to his savings.
Step-by-step explanation:
The formula for Jessica’s savings is
y = 10x + 20
She is saving at the rate of $10/wk .
From Raphael’s table, he started with $40 and is saving at the rate of $6/wk.
The formula for Raphael’s savings is
y = 6x +40
When the two savings are equal
10x + 20 = 6x + 40 Subtract 20 from each side
10x = 6x + 20 Subtract 6x from each side
4x = 20 Divide each side by 4
x = 5
Their savings will be equal after five weeks.
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After five weeks , Jessica will have saved
y = 10×5 + 20
y = 50 + 20
y = $70
Raphael has also saved $70.
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Jessica is saving at a faster rate than Raphael.
She is saving at the rate of $10/wk, while he is saving at the rate of $6/wk.
The rate at which Jessica is adding to her savings is $4/wk more than the rate at which Raphael is adding to his savings.
The red line in the graph shows that Jessica starts with $20. After five weeks, she has caught up to Raphael, who also has $70 after five weeks.
Answer:
1: Reflect M across the x-axis
2: Dilate about the center by 3/2
Step-by-step explanation:
Given
See attachment for M and N
Required
Which maps M to N
The coordinates of the radius of the circles are:
And the radius of circles are:
The first transformation from M to M' is:
- Reflect across the x-axis
The rule is:
<em>At this point, M' and N now have the same center but different radius.</em>
The second transformation from M' to N is:
- Dilate about the center by dividing the radius of N by the radius of M
i.e.
<em>At this point, M has been completely mapped to N.</em>
