Answer:
(a) The slope and the y-intercept are 7 and 15
(b) y represents the total number of baskets of berries the workers picked over a period of time
(c) The rate and the initial amounts are 7 baskets/hour and 15 baskets
(d) the graph attached down
Explanation:
The form of the linear equation is y = m x + b, where
- m is the slope (rate of change)
- b is the y-intercept (the initial value, value x at y = 0)
∵ The given equation is y = 7x + 15
→ Compare it with the form of the equation above
∴ m = 7 and b = 15
∵ m represents the slope
∴ The slope is 7
∵ b represents the y-intercept
∴ The y-intercept is 15
(a) The slope and the y-intercept are 7 and 15
The equation y = 7x + 15 represents the total number of baskets of berries the workers picked over a period of time, in hours
∵ y depends on x
∵ x represents the time
∴ y represents the total number of baskets of berries in x hours
(b) y represents the total number of baskets of berries the workers picked over a period of time
∵ The rate of change represented by the slope of the line
∵ The initial amount is represented by the y-intercept
∴ The rate of change = 7 baskets per hour
→ That means the workers picked 7 baskets per hour
∴ The initial amount is 15 baskets
→ That means there were 15 baskets of berries before the workers started
to pick
(c) The rates and the initial amounts are 7 baskets/hour and 15 baskets
(d) Look at the attached graph