Question

The graph shows the total cost that Reynard Landscaping charges for landscaping services.

Reynard Landscaping
Cost (dollars)

Hours
Which function can be used to model the situation?
Responses
A
y = 40x + 3 1
3
Table with 3 columns and 2 rows.Row 1: Column 1, 'y = 40x + 3'; Column 2, '1'; Column 3, empty Row 2: Column 1, '3'; Column 2, 'undefined'; Column 3, 'undefined'
B
y = 56x + 3 1
3
Table with 3 columns and 2 rows.Row 1: Column 1, 'y = 56x + 3'; Column 2, '1'; Column 3, empty Row 2: Column 1, '3'; Column 2, 'undefined'; Column 3, 'undefined'
C
y = 3 1 x + 40
3
Table with 3 columns and 2 rows.Row 1: Column 1, 'y = 3'; Column 2, '1'; Column 3, 'x + 40' Row 2: Column 1, '3'; Column 2, 'undefined'; Column 3, 'undefined'
D
y = 16 2 x + 40
3
Table with 3 columns and 2 rows.Row 1: Column 1, 'y = 16'; Column 2, '2'; Column 3, 'x + 40' Row 2: Column 1, '3'; Column 2, 'undefined'; Column 3, 'undefined'
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Answer 1

C. The graph shows a fixed cost of $40 at 0 hours (y‑intercept = 40) and the cost rises by $3 for each additional hour (slope = 3), so y = 3x + 40.