Question

lindsay bedford works at the baseball cap shop. she is paid $6.50 per hour plus $0.45 for each cap she embroiders. how many caps must she embroider to earn at least $85 in an 8-hour day?

Answer 1

15 caps are needed so that she can earn $85 in an $8$hour day.

How is the direct equation calculated?

The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables. In a coordinate plane, the direct variation graph is a straight line. A constant is the ratio of two quantities that vary directly. Relationship between two variables that can be described mathematically by an equation where one variable equals a constant multiplied by the other.

For each hour she is compensated $6.50 with $0.45.

For an 8 hour day =6.50 *8 + 0.45x

Let x be the caps and earning is $85

6.50*8+0.45*x=85

=> 52+0.45x=85

=> 0.45x=33

=> x=15 (approx.)

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