Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's savings is given and his equation is y=7.5x+2.5, where x represents the number of weeks and y represents his savings.

Write the equation for Andre's savings and graph it alongside Noah's. What does the intersection point mean in this situation?

Respuesta :

Answer:5x + 15
Plzzz trust I had the same answer as well and the question too thx

An equation and the intersection point of the two lines is required.

Andre's equation [tex]y=5x+15[/tex]

The intersection point is [tex](5,40)[/tex]

This means that at 5 months both Andre and Noah will have a total of $40 savings.

Noah's equation

[tex]y=7.5x+2.5[/tex]

x = Number of weeks

y = Savings

Andre's equation

[tex]y=5x+15[/tex]

Let us find two points of each line

[tex]x=0[/tex]

[tex]y=2.5[/tex]

[tex](0,2.5)[/tex]

[tex]y=0[/tex]

[tex]x=-\dfrac{2.5}{7.5}=-0.33[/tex]

[tex](-0.33,0)[/tex]

[tex]x=0[/tex]

[tex]y=15[/tex]

[tex](0,15)[/tex]

[tex]y=0[/tex]

[tex]x=-\dfrac{15}{5}=-3[/tex]

[tex](-3,0)[/tex]

Draw lines through their respective points

The intersection point is [tex](5,40)[/tex]

This means that at 5 months both Andre and Noah will have a total of $40 savings.

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