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Louise is collecting can tabs for charity. She already has 35 collected and intends to collect 4 every week. The equation for the number of can tabs y she has collected is y = 4x + 35, where x is the number of weeks. What do the slope and y-intercept represent?

User Guiman
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1 Answer

7 votes

Answer:

Explanation:

The equation for the number of can tabs y that she has collected is

y = 4x + 35

where x is the number of weeks. To plot the graph, values for different number of weeks are inputted to get the corresponding y values.

Comparing the equation with the slope intercept form,

y = mx + c,

m represents slope.

So slope of the equation is 4. It represents the rate at which the total number of can tabs that she has collected is increasing with respect to the increase in the number of weeks. So the total number increases by 4 each week

The y intercept is the point at x = 0

It is equal to 35. It represents the number of can tabs that she had initially collected before she started collecting 4 can tabs weekly. At this point, her weekly collection is 0

User Mahesh Meniya
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